Question

which function shows a fabric with a price of $1.25 per square yard?

price of fleece
square yards | 1 | 2 | 3 | 4
price | $1.25 | $2.00 | $2.75 | $3.50

price of fleece
square yards | 1 | 2 | 3 | 4
price | $0.25 | $1.25 | $2.25 | $3.25

graph: price of fleece, x - axis (square yards), y - axis (price ($)), line graph with increasing line

Explanation:

Step1: Define the cost function

Let $x$ = square yards, $y$ = total price. The function should be $y = 1.25x$.

Step2: Test first table

Check rate: $\frac{2.00-1.25}{2-1}=0.75$, not 1.25. Reject.

Step3: Test second table

Check rate: $\frac{1.25-0.25}{2-1}=1.00$, not 1.25. Reject.

Step4: Test the graph

Check slope: For $x=8$, $y=10$. Slope = $\frac{10}{8}=1.25$, matches the rate.

Answer:

The graph labeled "Price of Fleece" (the third option)