Question

the graph represents revenue in dollars as a function of greeting cards sold. greeting card revenue (graph: x-axis number of cards sold from 0 to 10, y-axis revenue ($) from 0 to 20, line through origin with positive slope) which equation represents the function graph? options: $y = \frac{1}{4}x$, $y = \frac{1}{2}x$, $y = 2x$, $y = 4x$

Explanation:

Step1: Pick a point from the graph

Choose the point $(x,y)=(5,10)$

Step2: Test the point in each equation

• For $y=\frac{1}{4}x$: $\frac{1}{4} \times 5 = 1.25

eq 10$

• For $y=\frac{1}{2}x$: $\frac{1}{2} \times 5 = 2.5

eq 10$

• For $y=2x$: $2 \times 5 = 10$, which matches
• For $y=4x$: $4 \times 5 = 20

eq 10$

Step3: Verify with a second point

Use $(x,y)=(4,8)$: $2 \times 4 = 8$, which matches.

Answer:

$\boldsymbol{y=2x}$ (Option: $\boldsymbol{y = 2x}$)