The table shows the profit from a school book fair based on the number of books sold. What is the rate of change for the function represented in the table?$0.50$0.67$1.07$1.50Book sold Profit f(x) (X) 100       ║   $50.00 250      ║      $275.00 300      ║      $350.00 350     ║     $425.00answer is A-$0.50

You are given a table[tex]\begin{array}{cc}\text{Number of books sold} & \text{Profit}\\100 & \$50\\250 & \$275\\300 & \$350\\350 & \$450\end{array}[/tex]The rate of change for the function represented in the table can be calculated using the formula[tex]\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i},[/tex]where i=1,2,3.1. When i=1,[tex]\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{275-50}{250-100}=\dfrac{225}{150}=1.5[/tex]2. When i=2,[tex]\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{350-275}{300-250}=\dfrac{75}{50}=1.5[/tex]3. When i=3,[tex]\dfrac{y_4-y_3}{x_4-x_3}=\dfrac{425-350}{350-300}=\dfrac{75}{50}=1.5[/tex]Then the rate of change is $1.5Answer: correct choice is D.