A new shoe company is trying to compete with Nike. They are measuring their profit over the course of 6 months to see if their profit model is allowing them to earn maximum profit. After month 3 they have made a profit of $15,500. After month 6, they made a profit of $22,000. Assuming that their profit can be modeled by a linear function, the average rate that the company earns profit is approximately _____with a unit of _____

A new shoe company is trying to compete with Nike They are measuring their profit over the course of 6 months to see if their profit model is allowing them to e class=

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Answer:

(C)2167

(B) dollars/month

Explanation:

0. After month 3, they have made a profit of $15,500.

,

1. After month 6, they made a profit of $22,000.

The average rate that the company earns in profit will be:

[tex]\begin{gathered} \text{Slope}=\frac{22000-15500}{6-3} \\ =\frac{6500}{3} \\ =2166.7 \\ \approx2167 \end{gathered}[/tex]

Recall that we divided the change in profit by the change in the number of months, therefore, the unit is:

[tex](B)\frac{\text{dollars}}{\text{month}}[/tex]