Question

A babysitting service charges $10 for the first hour and $12 for each additional hour. The babysitting service charged $58 for a recent babysitting job. Create an equation to represent this situation and define the variable used. Solve your equation, showing all steps used. Show that the solution is correct. Explain what the solution to your equation represents in the context of the given situation.

Answer 1

Answer: 10+12x=58

Explanation:

The equation would be 10+12x=58, where x is the amount of additional hours babysitting besides the first hour.

To solve: move terms to one side (subtract 10) so you'd get 12x=48

The answer to this equation would be x=4 (you divide by 12)

To check if correct: plug in 4, to get 10+12(4)=58 which is 10+48=58 which gets 58=58

So the time worked was a total of 5 hours since you have to add on the first hour, but the solution to your equation represents just the amount of additional hours worked besides the first hour.