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:

\[ 50 + 12c \geq 158 \]

Now, we will solve for \( c \):

1. Subtract 50 from both sides:

\[ 12c \geq 108 \]

2. Now, divide both sides by 12:

\[ c \geq 9 \]

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

The correct inequality is:

\[ c \geq 9 \]

So the answer is c ≥ 9.