linear equations and graphing

Question

write a linear equation for finding the total cost(c) of the personal trainers  services for( h) hours of training.  a personal trainer charges $25 per hour of training plus a $20. gym use fee.  and fill in the following table. 0 hours cost?       1 hour cost?       2 hours cost ?   3 hours cost ? 4 hours cost?    what is the cost for these hours is it 25. + 20. for every hour

Answer 1

The hourly rate of $25 is the slope of the line. The $20 gym use fee is a fixed cost and is the y-intercept of the line.

The equation of the line in slope-intercept form is as follows:

 

c=25h+20

 

To find the cost after a certain number of hours, you simply plug the hours into h and solve the equation for c. Therefore, after 0 hours you will have

 

c=25(0)+20=20; therefore, after 0 hours, you will simply pay the gym use fee which was a fixed cost

 

After 1 hour you will have

 

c=25(1)+20=45; therefore, after one hour you will pay 45 dollars. 20 will be the fixed cost and 25 will be the hourly fee.