Question

lincoln is saving $360 to buy a new bike. he already has $85 and can earn $12 per hour at work. which of the following equations describes the number of hours, \\(h\\), for which lincoln must work to earn enough money to buy the new bike?

\\(360 - 12 = 85h\\)
\\(360h = 12 + 85\\)
\\(360 - 85 = 12h\\)
\\(85 = 360 + 12h\\)

Explanation:

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<reasoning>

Identify the given values and variables

\[

$$\begin{aligned} &\text{Total savings goal} = 360\\ &\text{Initial savings} = 85\\ &\text{Hourly wage} = 12\\ &\text{Hours worked} = h \end{aligned}$$

\]

Set up the total savings equation

\[
85 + 12h = 360
\]

Rearrange to match the options

\[
360 - 85 = 12h
\]
</reasoning>

<answer>
<mcq-option>(A) \(360 - 12 = 85h\)</mcq-option>
<mcq-option>(B) \(360h = 12 + 85\)</mcq-option>
<mcq-correct>(C) \(360 - 85 = 12h\)</mcq-correct>
<mcq-option>(D) \(85 = 360 + 12h\)</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the given values and variables

\[

$$\begin{aligned} &\text{Total savings goal} = 360\\ &\text{Initial savings} = 85\\ &\text{Hourly wage} = 12\\ &\text{Hours worked} = h \end{aligned}$$

\]

Set up the total savings equation

\[
85 + 12h = 360
\]

Rearrange to match the options

\[
360 - 85 = 12h
\]
</reasoning>

<answer>
<mcq-option>(A) \(360 - 12 = 85h\)</mcq-option>
<mcq-option>(B) \(360h = 12 + 85\)</mcq-option>
<mcq-correct>(C) \(360 - 85 = 12h\)</mcq-correct>
<mcq-option>(D) \(85 = 360 + 12h\)</mcq-option>
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