Silvio works at a car wash. He earns

Question

$
50
per day and
$
12
per car washed. Silvio wants to earn at least
$
158
in
1
day.

Which inequality represents the number of cars
(
c
)
Silvio must wash to reach his goal?

Responses

c
<
9
c < 9

c
≥
9
c ≥ 9

c
<
6
c < 6

c
≥
6
c ≥ 6

Answer 1

To find the inequality that represents the number of cars Silvio must wash to earn at least $158 in one day, we can formulate the situation as follows:

Silvio earns a base pay of $50 per day and earns an additional $12 for each car washed. If he washes $c$ cars, his total earnings for the day can be expressed as:

$$\text{Total Earnings}=50+12c$$

Silvio wants to earn at least $158, so we set up the inequality:

$$50+12c\ge 158$$

Now, we will solve for $c$:

1. Subtract 50 from both sides:

$$12c\ge 108$$

2. Now, divide both sides by 12:

$$c\ge 9$$

This means Silvio must wash at least 9 cars to reach his goal of earning at least $158.

The correct inequality is:

$$c\ge 9$$

So the answer is c ≥ 9.