the table shows the profit from a school book fair based on the number of books sold. profit vs. books sold…

the table shows the profit from a school book fair based on the number of books sold. profit vs. books sold books sold (x) profit f(x) 100 $50.00 250 $275.00 300 $350.00 350 $425.00 what is the rate of change for the function represented in the table? $0.50 per book $0.67 per book $1.07 per book $1.50 per book

the table shows the profit from a school book fair based on the number of books sold. profit vs. books sold books sold (x) profit f(x) 100 $50.00 250 $275.00 300 $350.00 350 $425.00 what is the rate of change for the function represented in the table? $0.50 per book $0.67 per book $1.07 per book $1.50 per book

Answer

Explanation:

Step1: Recall rate - of - change formula

The rate of change of a function $y = f(x)$ is $\frac{\Delta y}{\Delta x}=\frac{f(x_2)-f(x_1)}{x_2 - x_1}$.

Step2: Choose two points

Let $(x_1,f(x_1))=(100,50)$ and $(x_2,f(x_2))=(250,275)$.

Step3: Calculate the rate of change

$\frac{f(250)-f(100)}{250 - 100}=\frac{275 - 50}{250-100}=\frac{225}{150}=1.5$.

Answer:

$1.50$ per book