A babysitting service charges an initial $5.00 fee plus an additional fee of $6.50 per hour. 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.

Answer 1

The linear equation that represents this relationship is:
y = 6.50x + 5.00

Where:
y is the total cost of the babysitting service
x is the number of hours the service is used
6.50 is the hourly rate charged by the service
5.00 is the initial fee charged by the service

The slope of the line is 6.50, which represents the hourly rate charged by the service. The y-intercept of the line is 5.00, which represents the initial fee charged by the service.