To represent Chris's income scenario with an equation, we can express the total income \( y \) as a function of the number of hours worked \( x \).
Chris earns $7 per hour and an additional $10 per week as a bonus. Therefore, the equation can be written as:
\[ y = 7x + 10 \]
where:
- \( y \) is the total income,
- \( x \) is the number of hours worked.
Now, if Chris's paycheck this week is $94, we can set \( y = 94 \) and solve for \( x \):
\[ 94 = 7x + 10 \]
To isolate \( x \), first, subtract 10 from both sides:
\[ 94 - 10 = 7x \] \[ 84 = 7x \]
Now, divide both sides by 7:
\[ x = \frac{84}{7} = 12 \]
Therefore, Chris worked 12 hours this week.
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