Suppose you have a \$8-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. What is the graph of the equation?
The equation is
(Type your answer in slope-intercept form.)
Answer
\(\boxed{y = 6.50x - 8}\)
Step 1 ：The total cost of the fabric without the coupon is $6.50 times the number of yards, or $6.50x$. Since we have an $8-off coupon, we subtract $8 from the total cost to get the final amount we pay.
Step 2 ：So the equation that models the total amount of money y we pay if we buy x yards of fabric is \(y = 6.50x - 8\).
Step 3 ：The graph of the equation is a straight line with a slope of 6.50 and a y-intercept of -8. The line represents the total amount of money you pay for different amounts of fabric, taking into account the $8-off coupon.
Step 4 ：\(\boxed{y = 6.50x - 8}\)
