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.

What equation represents this scenario? y = 7x + 10

If Chris' paycheck this week is $94, how many hours did he work? 7 hours, 12 hours, 9 hours, 77 hours.

Answer 1

To find out how many hours Chris worked given that his total paycheck this week is $94, we can use the equation that represents his total income:

\[ y = 7x + 10 \]

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

Since we know \( y = 94 \), we can substitute that value into the equation:

\[ 94 = 7x + 10 \]

Now, let's solve for \( x \):

1. Subtract 10 from both sides of the equation:

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

2. Now, divide both sides by 7 to find \( x \):

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

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