Chapter 12, Problem 5STP

To determine

To calculate:To find the constant rate of change for the below graph:

Answer to Problem 5STP

The constant rate of change is $\$7.50$ per ticket.

The correct answer is $B.$

  $\$7.50$ per ticket.

Explanation of Solution

Given information:

Given graph is

Formula Used:

Constant rate of changeis a rate of change that stays the same and does not change.

The (constant) rate of change with respect to the variable $x$ of a linear function $y=f\left(x\right)$ is the slope of its graph

Slope of the graph is given by:

  $Slope=\frac{y_2-y_1}{x_2-x_1}$

Calculation:

Given graph is:

From the above graph, slope is given as:

  $Slope=\frac{15-7.5}{2-1}$

Solving further, we have:

  $Slope=7.5$

Thus, the constant rate of change is $\$7.50$ per ticket.

Conclusion:

The constant rate of change is $\$7.50$ per ticket.

The correct answer is $B.$

  $\$7.50$ per ticket.