Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.

Please help I don’t understand

Answers

Answer 1

Answer:

  P = 0.14t +2.25

Step-by-step explanation:

The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:

  (t, P) = (0, 2.25) and (7, 3.20)

You can use these points to find the equation of the line in the usual way.

  m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)

  m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14

The first point tells you the equation intercept, so the relationship between P and t is ...

  y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).

  P = 0.14t +2.25


Related Questions

Find the slope of the line that passes through (-26, 9) and (32, 71).

Answers

Answer:

[tex]Slope = \frac{31}{29}[/tex]

Step-by-step explanation:

Step 1:  Define the slope formula

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Step 2:  Find the slope

[tex]Slope = \frac{71-9}{32-(-26)}[/tex]

[tex]Slope = \frac{62}{58}[/tex]

[tex]Slope = \frac{31}{29}[/tex]

Answer:  [tex]Slope = \frac{31}{29}[/tex]

Trong một lớp học có tỉ số học sinh nam và nữ là 7: 5.Tìm số học sinh của lớp biết số học sinh nam lớn hơn số học sinh nữ là 6 học sinh

Answers

Answer:

Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH

Step-by-step explanation:

Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5

áp dụng tính chất của dãy tỉ số bằng nhau, ta được:  

x/7 = y/5 => x-y =/7-5 = 6/2 = 3

Vì x/7 = 3 => x = 21

y/5 = 3 => y= 15

Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh

Find Missing Angle
Instructions: Find the measure of the indicated angle to the nearest degree.
27
28
?
II

Answers

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

we are given opposite(27) and hypotenuse(28), so use sin

sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

Find measure of one exterior angle in each regular polygon

Answers

Answer:

Pentagon = 72°

Octagon = 45°

Step-by-step explanation:

To solve for the measure of one exterior angle in a regular pentagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 5-2/5)

180 - (180 x 3/5)

180 - (540/5)

180 - 108

Exterior angle = 72°

To solve for the measure of one exterior angle in a regular octagon;

n = number of sides

180 - (180 x n-2/n)

180 - (180 x 8-2/8)

180 - (180 x 6/8)

180 - (1080/8)

180 - 135

Exterior angle = 45°

What is the value of -3⁶ +(-4+7)(2)?

Answers

-3^6 = -729

-729 +(-4+7)(2)

-729 +(3)(2)

-729 + 6

-723

hope it helps :)

(ps: the result of -3^6 is not +729, the expression that would give this result is (-3)^6

3x-4y;x=4andy=3 evaluate the expression for the indicated values of the variables

Answers

Step-by-step explanation:

In this problem, all we have to do is replace x and y with the values we've been given.

It can be helpful to think of 3x as 3 * x (which is the same exact thing), so I'll write it out that way.

3*x - 4*y

(replace)

3*4 - 4*3

(multiply (doing this step first because of PEMDAS))

12 - 12

(subtract)

0

Answer:

0

Answer: 0

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

3x - 4y

x = 4, y = 3

Substitute value of x and y

3(4) - 4(3)

Simplify multiplication

12 - 12

Final subtraction

0

Hope this helps!! :)

Please let me know if you have any questions

(PICTURE) 15 Points and marking Brainliest could someone please answer/explain this for me

Answers

Answer:

9. Hypotenuse = √(19.1²+11.3²) = √492.5 = 22.2 m²

10. Area = (34×40)/2 + (17²×π/2)

= 680 + 453.96

= 1133.96 cm²

Answered by GAUTHMATH

( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )

Answers

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }[/tex]

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.

Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)

Lets start!

cos[tex]\theta\\[/tex] = adj/hyp

cos[tex]\theta\\[/tex] = 6/13

[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)

[tex]\theta\\[/tex] = 62.5

[tex]\theta\\[/tex] = 63

Hope that helped!

For g(x) = x - 2 find the value of x for which g(x) = -4.

Answers

Answer:

x=-2

Step-by-step explanation:

g(x) = x-2

Let g(x) = -4

-4 =x-2

Add 2 to each side

-4+2 = x-2+2

-2 = x

Answer:

x = -2

Step-by-step explanation:

g(x) = -4

g(x) = x - 2

-4 = x - 2

+2      +2

-2 = -x

what is the angle what it use

Answers

Answer:

Which angle are you talking about please?

add a picture of your question if you can for further help to be offered ! :)

| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.

Answers

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time

Answers

Answer:

Step-by-step explanation:

so you have divide  ok by my  and divide 5x1

What is the circumference of a circle with an area of 50.24

Answers

Answer: C=25.12

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} if \ \ equal \ \pi =3,14 \ \ then \\\\\pi r^2=3,14r^2\\\\3,14r^2=50,24 \\\\ r^2=16 \\\\ r=4 \Longrightarrow C= 2\pi r=2\cdot 3,14\cdot 4=25.12 \\\\\\ Answer : C=25.12[/tex]

Which equation shows the volume of the rectangular prism as a product of its edge lengths?

Answers

Answer:

Top right option

Step-by-step explanation:

multiplying the digits, you get the volume, which is 3/4

Answered by GAUTHMATH

Find the value of x in each case:

Please help me

It's an easy 40 points if you answer this

Answers

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45

I am on a time crunch please answer fast!

Answers

Answer:

Step-by-step explanation:

Function 2 has a slope of 1.1 while function 1 has a slope of just 1.

Function 2 is the answer
May I have brainliest?

what is difference between -0.4 and 44.4 a) 40 b) 44 c) -44 d)44.8

Answers

Answer:

Step-by-step explanation:

44.4--0.4=-44

a. IfA= {a, b} and B = {p, q, r}, find A x B and B x A using tree diagram.​

Answers

Answer:

Step-by-step explanation:

Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8) ​

Answers

Answer:

[tex](x + 8)(x - 3)[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 5x - 24[/tex]

[tex] {x}^{2} + 8x - 3x - 24[/tex]

Factor by grouping

[tex](x + 8)(x - 3)[/tex]

which answer is correct

Answers

Answer:

a+b+c +90+90 = 540

Step-by-step explanation:

A five sided figure has interior angles that add to 540

a+b+c +90+90 = 540

Answer: c

Explanation: sum of interior angles of pentagon equal 540

Is it the answer option D?

Answers

Answer:

D

Step-by-step explanation:

graph it

what does
4(x+2)=2x+10
equal?

Answers

Answer:

x=9

Step-by-step explanation:

4(x-2)=2x+10

<=> 4x-8=2x+10

<=> 2x=18

<=>x=9

Answer:

x=3 the explanation is above

Marking brainliest please explain if you can (PICTURE)

Answers

Answer:

Anyone???

Step By Step
I think it’s because James is using only 18 m of wood, and only whole numbers. With only whole numbers, there are no more factors of 18 that would make sense for a picture frame, and the maximum area has been found with the dimensions of 6 and 3. If he continues the chart and goes higher than 20 (let alone 18), it would be pointless since he wants to make a frame with 18 m of wood.

3. Which expression is a simplified form of 3x2 - 4x + 5 - x2 + 2x - 1?
a2x2 - 2x + 4
b. 2x2 + 2x + 6
c. 4x2 - 6x + 4
d. 4x2 + 6x + 6

Answers

The correct answer is A

Answer:

It's A

Step-by-step explanation:

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

17) The answer is option B. 273.8 m^2

16) The answer is option A. 2.9887

Step-by-step explanation:

please help me i will give brainliest!

Answers

Answer:

135

Step-by-step explanation:

Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.

Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.

Then divide 2 7/64 by 1/64 to get 135.

Hope this helps!

If there is something wrong, just let me know.

could someone explain how to figure this out (marking brainliest to the most helpful answer) I will report fakes.

Answers

I believe the answer is A.

Remember that in order to find the slope, we use the slope formula.

The slope formula is: rise/run

Triangle A: 3/4
Triangle B: 4/3
Triangle C: 9/16
Triangle D: 8/12
A because triangle a= 3/4

Y = 2x - 4

(0, 4)

(3, -1)

(-1, -5)

(-4, 9)

Answers

Answer:

Y = 2x - 4

(2,-4)

gradient= 2

y-intersept = -4

(a The Slant height of a right circular Cone with radius 7cm s 15cm . Find its Curved Surface area ​

Answers

Answer:

The curved surface area of the cone is approximately 329.9 cm²

Step-by-step explanation:

The parameters of the right circular cone are;

The radius of the cone, r = 7 cm

The slant height of the one, l = 15 cm

The curved surface area of a cone, CSA = π·r·l

Therefore;

CSA = π × 7 cm × 15 cm = 105·π cm² ≈ 329.9 cm².

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