Let's write an that describes Craig's desired earnings. The phrase
at least
is equivalent to saying
greater than or equal to, which algebraically can be written as
≥. Therefore, we can describe Craig's desired earnings.
Earnings≥600
Next, let's find how much money Craig earns in a week by working
40 hours. The pay rate is
$12.80 per hour so we can find the total weekly earnings multiplying this rate by
40 hours.
40⋅12.80=512
Craig can earn
$512 in a week by working
40 hours but this is not enough to reach Craig's earnings goal, so he needs to put in overtime. We know that Craig is paid
$19.20 per hour of overtime. So, if the extra number of hours Craig needs to put in to earn at least
$600 is
x, we can rewrite the left-hand side of our inequality with the
19.20x.
512+19.20x≥600
By solving this inequality for
x we can determine the number of hours Craig has to put in.
512+19.20x≥600
19.20x≥88
h=4.853333…
We are only given whole hours as options, and since Craig wants to earn at least
$600 we have to round up the number of extra hours Craig has to put in to
5 hours. In total Craig has to put in
45 hours, which corresponds to option
H.