# Graph the following functions and obtain the point of intersection.Write a function relating a camera's purchase price after a discount coupon of $50 valid on all purchases of $100 or above is...

Graph the following functions and obtain the point of intersection.

Write a function relating a camera's purchase price after a discount coupon of $50 valid on all purchases of $100 or above is applied offered by Zeke's camera shop is applied. Give the domain of this function. An online retailer currently offers a 40% discount on cameras. Write a function relating a camera's purchase price y to the retail price, x. Give the domain of this function. What is the point of intersection if the two functions are graphed.

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### 1 Answer

The offer at Zeke's camera world is $50 off on any purchase of $100 or more. If the actual price is x, the amount paid is x - 50. This can be expressed as y = x - 50. Here the domain is `[100, oo)`

The online retailer offers a discount of 40% on cameras. The amount paid y in this case is (1 - 0.4)*x = 0.6*x where x is the retail price. This is expressed as y = 0.6*x. The domain in this case is `[0, oo)`

A plot of the graphs with the point of intersection is given below.

**The point of intersection of the graphs is at x = 125**