Problem

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Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \( \$ 6 \) for each hour of work. Her total fee for a 4 hour job, for instance, is \( \$ 32 \).

Let \( y \) represent Carolina's fee (in dollars) for a single job that took \( x \) hours for her to complete.

Complete the equation for the relationship between the fee and number of hours.
\[
y=
\]
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Answer

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Answer

y = 6x + 8

Steps

Step 1 :y = mx + b, m = 6

Step 2 :y = 6x + b

Step 3 :32 = 6(4) + b

Step 4 :32 = 24 + b

Step 5 :b = 8

Step 6 :y = 6x + 8

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