Carter wants to save up some money to buy a new smartphone, so he babysits on the weekends. There is a proportional relationship between the time Carter spends babysitting (in hours), x, and the amount of money he earns babysitting (in dollars), y.

Question

The equation that models this relationship is y=6x.
How long does Carter need to babysit to earn $66? Write your answer as a whole number or decimal.

Answer 1

To find the time Carter needs to babysit to earn $66, we can set up the equation and solve for x:

y = 6x

We are given y = $66, so we can substitute this into the equation:

$66 = 6x

To solve for x, we can divide both sides of the equation by 6:

\(\frac{66}{6} = \frac{6x}{6}\)

\(\frac{11}{1} = x\)

Therefore, Carter needs to babysit for 11 hours to earn $66.