Suppose you have a ​$8​-off coupon at a fabric store. You buy fabric that costs ​$5.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the​ equation?

Respuesta :

Answer:

Step-by-step explanation:

If you have a ​$8​-off coupon at a fabric store. It means that if the original price of an item is $x, the price that would be paid will be x - 0.08x = $0.92x. Therefore,

If you buy fabric that costs ​$5.50 per yard, it means that x = 5.5. The cost of the fabric will be

0.92×5 = $4.6

An equation that models the total amount of money y, that you pay if you buy x yards of fabric will be

y = 0.92x

To plot the graph, we will pick different values for x and find the corresponding y values. It becomes

When

x = 1, y = 0.92

x = 2 y = 1.84

x = 3, y = 2.76

x = 4, y = 3.68

On the graph attached, the y axis represents the amount of money that will be paid in $ while the x axis represents the number of yards of fabric.

The scale used is

2cm to 0.5 units on the y axis

2cm to 1 unit on the x axis

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