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14 April, 06:31

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.

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  1. 14 April, 09:54
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    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.
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