High School

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.

1. Create an equation to represent this situation and define the variable used.

Let [tex]h[/tex] be the number of hours beyond the first hour.
The equation is: [tex]10 + 12h = 58[/tex]

2. Solve your equation, showing all steps used.

\[
\begin{align*}
10 + 12h &= 58 \\
12h &= 58 - 10 \\
12h &= 48 \\
h &= \frac{48}{12} \\
h &= 4
\end{align*}
\]

3. Show that the solution is correct.

Substituting [tex]h = 4[/tex] back into the equation:
\[
10 + 12(4) = 58 \\
10 + 48 = 58 \\
58 = 58
\]
The solution is correct.

4. Explain what the solution to your equation represents in the context of the given situation.

The solution [tex]h = 4[/tex] means that the babysitting service was used for 5 hours in total. This is because the first hour is charged separately, and [tex]h[/tex] represents the additional hours beyond the first.

Answer :

Answer: 10+12x=58

Step-by-step 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.

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