Carson is a high school student with two part time jobs. He earns $6 per hour for babysitting, and he earns $8 per hour for clerical work. His goal is to earn at least $96 a week.

Using b for babysitting hours and c for clerical hours, write an inequality that represents the situation.

6b + 8c ≥ 96 is the required inequality to represent the situation.

Step-by-step explanation:

The amount Carson earns for babysitting = $6 per hour

Let the number of hours he babysits = b

So, the total amount earned by babysitting = b x $6 = $6b

The amount Carson earns for clerical work = $8 per hour

Let the number of hours he does clerical work = c

So, the total amount earned = c x $8 = $8c

The amount he wants to ear is AT LEAST $96

Total amount earned

= Earning from Babysitting + Earning from Clerical work = $6b + $8c

So, according to the question:

$6b + $8c ≥ $96

or, 6b + 8c ≥ 96 is the required inequality to represent the situation.