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

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

Answer

Answer:

D. $1.50 per book

Explanation:

Step1: Recall rate - of - change formula

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

Step2: Select two points

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

Step3: Calculate the rate of change

$\frac{f(250)-f(100)}{250 - 100}=\frac{275 - 50}{250-100}=\frac{225}{150}=1.5$. So the rate of change is $1.50$ per book.