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?

$360 - 12 = 85h$
$360h = 12 + 85$
$360 - 85 = 12h$
$85 = 360 + 12h$

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\$

$360 - 12 = 85h$
$360h = 12 + 85$
$360 - 85 = 12h$
$85 = 360 + 12h$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Real-world Applications" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Real-world Applications" ] } ## 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 $$ 360 - 85 = 12h $$

(A) $360 - 12 = 85h$

(B) $360h = 12 + 85$

(C) $360 - 85 = 12h$

(D) $85 = 360 + 12h$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given values and variables

Set up the total savings equation

Rearrange to match the options

Answer: