Question

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

Answer 1

Part a)
`y=1.5x+12`

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

Part c) see the explanation

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)

so

`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=(y2-y1)/(x2-x1)`

substitute the values

`m=(18-12)/(4-0)`

`m=(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