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

Part a)

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

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

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

substitute the values

Find the equation of the function

we have

substitute

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

----> is true

therefore

The ordered pair is a solution of the function rule