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 the scenario, we can set up an equation for Chris's total income \( y \) based on the number of hours worked \( x \).

Chris earns $7 per hour and a weekly bonus of $10. The equation can be written as:

\[ y = 7x + 10 \]

where:

• \( y \) is the total income,
• \( x \) is the number of hours worked,
• \( 7x \) is the income from hourly wages, and
• \( 10 \) is the weekly bonus.

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

\[ 94 = 7x + 10 \]

To solve for \( x \), we first subtract 10 from both sides:

\[ 94 - 10 = 7x \]

\[ 84 = 7x \]

Next, we divide both sides by 7:

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

\[ x = 12 \]

Thus, Chris worked 12 hours this week.