During summer vacation, you charge people $8 per hour for babysitting and $10 for going to their house. If you make $50 one day, how many hours did you spend on babysitting?

You spent 5 hours babysitting.

Step-by-step explanation:

This situation can be represented by the  equation  y = 8x+ 10  where y is the money you earn and x is the  number of hours.

So if  y is equation to fifty dollars then what is x ?

50 = 8x +10    subtract 10 from both sides.

-10           -10

40 = 8x

x = 5

5

Step-by-step explanation:

You can first create an equation to represent the description.  

M = 8h + 10

M is the total money made, and h is the hours spent.  Going to a house costs $10.  This is why it's alone; no matter how many hours is spent at the house, there will always be a $10 charge  Every hour spent at that house costs $8.  This is why it has a variable with it.  This value depends on the time spent.

Plug in the given value ($50) into M and solve for h.

M = 8h + 10

50 = 8h + 10

40 = 8h

h = 5

Five hours were spent at the house.