Question

clifford is paid $4.50 per hour plus time and a half on holidays and makes an average of 18% tips on his food sales as a server at the local seafood restaurant. this is modeled by the expression $4.50(x) + 4.50(1.5)(y) + 0.18(z)$. what is cliffords gross pay if he worked 22 regular hours and 8 holiday hours and had $1,892 in food sales?
$153.00
$475.56
$493.56
$561.06

Explanation:

Step1: Define variables

Let $x=22$ (regular hours), $y=8$ (holiday hours), $z=1892$ (food sales)

Step2: Calculate regular pay

$\text{Regular pay} = 4.50 \times x = 4.50 \times 22 = 99$

Step3: Calculate holiday pay

$\text{Holiday pay} = 4.50(1.5) \times y = 6.75 \times 8 = 54$

Step4: Calculate tip earnings

$\text{Tips} = 0.18 \times z = 0.18 \times 1892 = 340.56$

Step5: Sum all earnings

$\text{Gross pay} = 99 + 54 + 340.56$

Answer:

$493.56$ (matches the option: $493.56$)