Mathematics, 11.11.2019 22:31 MiddleSchool2005

What is the equation i would use to find this(answer also)

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Answer from: heids17043

Part a) y=1.5x+12

Part b) The total price for 10 photos is equal to $27

Part c) see the explanation

Step-by-step explanation:

Part a) write a function rule that models the graph

Let

x ----> the number of photos

y ---> the total price in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate of the linear equation

b is the y-intercept or initial value

In this problem the y-intercept is the point (0,12)

$b=\$12$

Looking at the graph

take any two points on the line

(0,12) and (4,18)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{18-12}{4-0}$

$m=\frac{6}{4}=\$1.5\ per\ photo$

Find the equation of the function

we have

$m=\$1.5\ per\ photo$

$b=\$12$

substitute

y=1.5x+12

Part b) Explain what the coordinate (10,27) means in context of the problem

Remember that

x ----> the number of photos

y ---> the total price in dollars

therefore

That means ----> The total price for 10 photos is equal to $27

Part c) Prove that (10,27) is a solution to the function rule

we have

x=10,y=27

Remember that

If a ordered pair is a solution of the function rule, then the ordered pair must satisfy the function rule

substitute the value of x and the value of y in the function rule and analyze the result

27=1.5(10)+12

27=27 ----> is true

therefore

The ordered pair is a solution of the function rule

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