French Gray
10/08/2023 · Middle School
Jimmy decides to mow lawns to earn money. The initial cost of his electric lawnmower is \( \$ 350 \). Electricity and maintenance costs are \( \$ 6 \) per lawn. Complete parts (a) through (c). a) Formulate a function \( C(x) \) for the total cost of mowing \( x \) lawns. \( C(x)=\square \)
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Tutor-Verified Answer
Step-by-step Solution
To formulate the function \( C(x) \) for the total cost of mowing \( x \) lawns, we need to consider both the initial cost of the lawnmower and the variable costs associated with mowing each lawn.
1. The initial cost of the electric lawnmower is \( \$350 \).
2. The cost of electricity and maintenance for each lawn is \( \$6 \).
The total cost \( C(x) \) can be expressed as the sum of the initial cost and the variable costs for mowing \( x \) lawns. The variable cost for \( x \) lawns is \( 6x \) (since it costs \( \$6 \) for each lawn).
Thus, the total cost function is:
\[
C(x) = 350 + 6x
\]
So, the answer is:
\[
C(x) = 350 + 6x
\]
Quick Answer
\( C(x) = 350 + 6x \)
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