Question

Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $

Answer 1

Answer:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Step-by-step explanation:

In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:

y = 6.5x + 5

Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31