Question

Kristina has a candy business. She makes a profit of $1.50 for every candy bar she sells. Which of the following represents the rate of change of her profit with respect to the number of candy bars she sells?A. 3 dollars / 2bars B. 3 bars / 2 dollarsC. 2 bars / 3 dollarsD. 2 dollars / 3 bars

Answer 1

A. 3 dollars / 2bars

Step-by-step explanation

We want to find the rate of change of her profit with respect to the number of candy bars.

Rate of change describes the amount of profit she makes per candy bar.

So saying that she makes a profit of $1.50 per candy bar means that every candy bar she sells yields a profit of $1.50.

If we want to rewrite this we can say:

`\begin{gathered} \text{Rate of change = }\frac{1.5\text{ dollars}}{1\text{ bar}} \\ 1.5\text{ in fraction form is }(3)/(2)\colon \\ \text{Rate of change = }\frac{(3)/(2)dollars}{1\text{ bar}}\Rightarrow\text{ }\frac{3\text{ dollars}}{2\text{ bars}} \end{gathered}`

Another way of solving this is to say that since 1 candy bar makes a profit of $1.5, then 2 candy bars will make a profit of:

2 * 1.5 = $3.

Therefore, the answer is option A.