Chris makes 7 dollars per hour plus a weekly bonus 10 dollars a week, where x is the number of hours worked and y is the total income earned. What equation represents this scenario? If chris's paycheck this week is $94 how many hours did did he work?

Answer 1

To represent the scenario mathematically, we can formulate the equation based on Chris's income structure.

1. Chris earns $7 per hour, so his income from hours worked is \( 7x \), where \( x \) is the number of hours he works.
2. He also receives a weekly bonus of $10.

Thus, his total income \( y \) can be represented by the equation: \[ y = 7x + 10 \]

Now, we know that Chris's total income this week is $94. We can substitute \( y \) with 94 in the equation: \[ 94 = 7x + 10 \]

Next, we'll solve for \( x \):

1. Subtract 10 from both sides: \[ 94 - 10 = 7x \] \[ 84 = 7x \]

2. Divide both sides by 7: \[ x = \frac{84}{7} \] \[ x = 12 \]

Therefore, Chris worked 12 hours this week.