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?

Question

y = 7x + 10

y = 10x + 7

12 hours

9 hours

7 hours

77 hours

Answer 1

The equation that represents Chris's total income (y) based on the number of hours worked (x) is:

\[ y = 7x + 10 \]

In this equation:

• \(7x\) represents the income from the hourly wage, where Chris earns $7 for each hour worked.
• \(10\) represents the weekly bonus he receives.

Now, to find out how many hours Chris worked when his paycheck this week is $94, we can set \(y\) to $94 and solve for \(x\):

\[ 94 = 7x + 10 \]

Now, subtract 10 from both sides:

\[ 94 - 10 = 7x \]

\[ 84 = 7x \]

Next, divide both sides by 7:

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

\[ x = 12 \]

So, Chris worked 12 hours this week.