Math Snap

STEP 1

1. Jalen earns $17 per hour.
2. Jalen receives a bonus of $1.50 for each lawn he cuts.
3. Jalen cuts 36 lawns.
4. Jalen works 42 hours in one week.
5. We need to calculate Jalen's total earnings for the week.

STEP 2

1. Define variables for Jalen's earnings.
2. Create an equation to represent Jalen's total earnings.
3. Substitute the given values into the equation.
4. Solve the equation to find Jalen's total earnings.

STEP 3

Define variables for Jalen's earnings.
Let $H$ be the number of hours Jalen works.
Let $L$ be the number of lawns Jalen cuts.
Let $E$ be Jalen's total earnings.

STEP 4

Create an equation to represent Jalen's total earnings.
Jalen's earnings from hours worked is $17H$.
Jalen's earnings from lawns cut is $1.50L$.
Thus, the total earnings equation is:
$$E = 17H + 1.50L$$

STEP 5

Substitute the given values into the equation.
Given $H = 42$ and $L = 36$, substitute these values into the equation:
$$E = 17(42) + 1.50(36)$$

Solve the equation to find Jalen's total earnings.
First, calculate the earnings from hours worked:
$$17 \times 42 = 714$$ Next, calculate the earnings from lawns cut:
$$1.50 \times 36 = 54$$ Add these two amounts to find the total earnings:
$$E = 714 + 54 = 768$$ Jalen's total earnings for the week is:
$$\boxed{768}$$