Question

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each hour of work. Her total fee for a 444-hour job, for instance, is \$32$32dollar sign, 32. what is the linear equation A) Total fee = Initial fee + 6 * Hours of work

B) Total fee = Initial fee * Hours of work
C) Total fee = Initial fee + 4 * Hours of work
D) Total fee = Initial fee + 8 * Hours of work

Answer 1

The correct linear equation representing Carolina's lawn mowing fees, where she charges an initial fee plus $6 per hour, is 'Total fee = Initial fee + 6 * Hours of work'. For a 4-hour job costing $32, the initial fee is $8.

Step-by-step explanation:

The student is working on finding the correct linear equation to represent Carolina's lawn mowing fees. Based on the information given, Carolina charges an initial fee plus $6 for each hour of work. For a 4-hour job, her total fee is $32. We can determine the initial fee by subtracting the total hourly charge from the total fee. This can be calculated by $32 (total fee) - (4 hours * $6 per hour) = $32 - $24 = $8. Thus, the initial fee is $8.

Therefore, the linear equation that correctly represents Carolina's total fee for mowing lawns is:

Total fee = Initial fee + 6 * Hours of work

Among the options provided, option A) correctly models the situation:

A) Total fee = Initial fee + 6 * Hours of work