Question

Avon Edwards worked 45.5 hours at $5 per hour. He made $100 in tips but no bonuses. Anything over 40 hours is paid time-and-a-half. What were his earnings?
Use W = HR + 1.5VR + B + T, where H is regular hours worked, V is the overtime hours worked, B is bonuses, and T is tips.

A. $220.00

B. $241.35

C. $320.00

D. $341.25

One employee earns a weekly salary of $428, and another works hourly, earning $15 per hour. How many hours does the hourly employee need to work to make the same weekly earnings as the salaried employee?

A.
about 25 hours

B.
about 28.5 hours

C.
about 32 hours

D.
about 35.5 hours

Answer 1

Answer:

1. D

2. B

Step-by-step explanation:

Question 1:

We can get Avon's earnings using the equation  $W=HR+1.5VR+B+T$

Where W is his earnings

HR is the regular hours (40 hours in this case)

V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)

B is bonus (no bonus)

T is tips ( $100 tips, given)

and R is the rate (which is $5 per hour)

Substituting the given info into the equation, we get:

$W=HR+1.5VR+B+T\\W=(40)(5)+1.5(5.5)(5)+0+100\\W=341.25$

So avon's earnings are $341.25

Answer choice D is right.

Question 2:

The other employee needs to work $x$ hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:

$(15)(x)=428\\x=\frac{428}{15}\\x=28.53$

Rounded to 1 decimal place, this is about 28.5 hours

Answer choice B is right.

Answer 2

Answer:

1. D. $341.25
2. B. About 28.5

Step-by-step explanation:

1. Put the given numbers in the given formula and do the arithmetic.

... W = 40·5 +1.5·5.5·5 +0 +100

... = 200 + 41.25 +100

... = 341.25 . . . . . matches selection D

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2. Multiplying hours by the hourly rate gives earnings. You want to find h such that ...

... $15·h = $428

Divide by $15.

... h = $428/$15 = 28 8/15 ≈ 28.5333 . . . . close to answer choice B