Question

The graph shows the revenue and the profit earned by a street vendor by selling popcorn. What will be the profit earned if the revenue is $\$187?$

• A. $\$151.75$
• B. $\$233.75$
• C. $\$200$
• D. $\$149.6$

Answer 1

The correct option is D $\$149.6$



The graph passes through $(4.8,6)$ and $(8,10)$.
$x_1=4.8,y_1=6;x_2=8,y_2=10$

Unit rate $=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}=\frac{10-6}{8-4.8}=\frac{4}{3.2}=\frac{40}{32}=1.25$

Thus for every $\$1$ profit, the revenue is $\$\mathrm{1.25.}$

This means,
when the revenue is $\$1.25$, the profit is $\$1.$

Profit when revenue is $\$1=\frac{1}{1.25}=\frac{100}{125}=\$0.8$

Profit when the revenue is $\$187=0.8\times 187=\$149.6$