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)

Question

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.