Question

the graph shows the cost to bowl at bowl - a - rama. the lines represent the total cost on different days of the week, y, as a function of time in hours, x. rate of change from fri - sun: 4 what is the hourly cost to bowl from monday to thursday? find the rate of change. rate of change from mon - thurs: |

Explanation:

Step1: Recall the formula for rate of change

The rate of change (slope) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For the line representing Mon - Thurs, we can use two points on the line. Let's take \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,4)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 0,y_1 = 0,x_2=2,y_2 = 4\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Then \(m=\frac{4-0}{2 - 0}=\frac{4}{2}=2\).

Answer:

\(2\)