Question

Chris makes 7 dollars per hour plus a weekly bonus of 10 dollars a week, where x is the number of hours worked and y is the total income earned.(2 points)
What equation represents this scenario?

If Chris' paycheck this week is $94, how many hours did he work?

Answer 1

To represent Chris's income based on the hours he works and his weekly bonus, we can use the following equation:

\[
y = 7x + 10
\]

where:
- \( y \) is the total income earned,
- \( x \) is the number of hours worked,
- 7 is the hourly wage,
- 10 is the weekly bonus.

Now, if Chris's paycheck this week is $94, we can substitute \( y \) with 94 in the equation and solve for \( x \):

\[
94 = 7x + 10
\]

Now, subtract 10 from both sides:

\[
94 - 10 = 7x
\]
\[
84 = 7x
\]

Now, divide both sides by 7:

\[
x = \frac{84}{7}
\]
\[
x = 12
\]

Therefore, Chris worked **12 hours** this week.