2
QuizMultiple Choice

Rational Equations in Financial Contexts — Quiz

Question 2 • Financial Math

A couple spends $⁢3,200 on necessities each month. They would like to save 6% of their gross income for a vacation. They want the ratio of necessities and vacation savings to gross income to equal 0.6 Which equation can they use to find the monthly gross income, x , they need to earn to meet these goals?

Answer
A
0.06=3,200 + 0.6⁢xx
B
0.6=x3,200 + 0.06⁢x
C
0.6=3,200 + 0.06⁢xx
D
0.06=x3,200 + 0.6⁢x

Explanation

The vacation savings are 6% of gross income, or 0.06x. Add that to the $3,200 spent on necessities, then divide by gross income x to form the ratio: (3,200 + 0.06x)/x = 0.6. This is choice C, the equation that sets the necessities-and-savings ratio equal to 0.6.

AI-written and checked against the verified answer.

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