Question

suppose you have a $4 - off coupon at a fabric store . you buy fabric that costs $6.50 per yard. write an equation that models the total amount of money y you pay if you buy x yards of fabric m what is the graph of the equation . the equation is?

Answer 1

The equation that represents this is

y = 6.5x - 4

The graph of this equation is

Step-by-step explanation

The fabric costs 6.50 dollars per yard.

If one buys x yards, the cost is (6.5x) dollars

Noting that there is a discount of 4 dollars

y = (Cost of x fabric) - (Discount)

y = 6.5x - 4

To plot the graph for this, we will use intercepts,

when x = 0,

y = 6.5x - 4

y = 0 - 4

y = -4

First point on the graph is (0, -4)

When y = 0

y = 6.5x - 4

0 = 6.5x - 4

6.5x = 4

Divide both sides by 6.5

(6.5x/6.5) = (4/6.5)

x = 0.615

Second point on the graph is (0.615, 0)

The graph is then plotted by connecting these two points. And this is shown under 'Answer'

Hope this Helps!!!