direct and inverse variation

four pounds of apples cost \$5. eight pounds of apples cost \$10. if the total cost of apples, $y$, varies directly with the number of pounds of apples purchased, $x$, what is the cost of 6 pounds of apples? round your answer to the nearest hundredth.

\$0.80
\$1.25
\$4.80
\$7.50

Question

direct and inverse variation

four pounds of apples cost \$5. eight pounds of apples cost \$10. if the total cost of apples, $y$, varies directly with the number of pounds of apples purchased, $x$, what is the cost of 6 pounds of apples? round your answer to the nearest hundredth.

\$0.80
\$1.25
\$4.80
\$7.50

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Direct Variation" ], "new_concepts": [], "current_concepts": [ "Direct Variation" ] } ## Set up the direct variation equation $$ y = kx $$ ## Solve for the constant of variation $$ \begin{aligned} 5 &= k(4) \ k &= \frac{5}{4} = 1.25 \end{aligned} $$ ## Calculate the cost for 6 pounds of apples $$ \begin{aligned} y &= 1.25 \times 6 \ y &= 7.50 \end{aligned} $$

$0.80

$1.25

$4.80

$7.50

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Direct Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the direct variation equation

Solve for the constant of variation

Calculate the cost for 6 pounds of apples

Answer: