raj has a debt of $4,100 to pay off with no interest added. if he pays $50 each month, how long will it take him to pay back the loan? the equation can be written as:

(y = -50x + 4,100)

solve the problem by solving for the x-intercept.

a.) 67 months
b.) 74 months
c.) 89 months
d.) 82 months

Question

raj has a debt of $4,100 to pay off with no interest added. if he pays $50 each month, how long will it take him to pay back the loan? the equation can be written as:

(y = -50x + 4,100)

solve the problem by solving for the x-intercept.

a.) 67 months
b.) 74 months
c.) 89 months
d.) 82 months

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [ "x-intercept" ], "current_concepts": [ "Linear Equations", "x-intercept" ] } ## Set the equation to find the x-intercept Using the *Linear Equations* knowledge point $$ \begin{aligned} &y = -50x + 4,100\ &0 = -50x + 4,100 \end{aligned} $$ ## Solve for x Using the *Linear Equations* knowledge point $$ \begin{aligned} &50x = 4,100\ &x = \frac{4,100}{50}\ &x = 82 \end{aligned} $$

a.) 67 months

b.) 74 months

c.) 89 months

d.) 82 months

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

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QUESTION IMAGE

Question

Explanation:

Set the equation to find the x-intercept

Solve for x

Answer: