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. friday - sunday rate of change: 4; monday - thursday rate of change: 4. find the initial value of each function. the initial value of the function from fri - sun is? . the initial value of the function from mon - thurs is? . (and there is a graph with x - axis as time (hours) and y - axis as total cost ($), showing two lines, one for fri - sun starting at (0,0) and one for mon - thurs starting at (0,2))

Explanation:

Step1: Recall the definition of initial value

The initial value of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Find the initial value for Fri - Sun

For the Fri - Sun function, when \(x=0\) (time \(x = 0\) hours), looking at the graph, \(y = 0\).

Step3: Find the initial value for Mon - Thurs

For the Mon - Thurs function, when \(x = 0\) (time \(x=0\) hours), looking at the graph, \(y = 2\).

Answer:

The initial value of the function from Fri - Sun is \(0\). The initial value of the function from Mon - Thurs is \(2\).