rational equations in financial contexts\na family spends $2,984 per month on necessities. they decide to…

rational equations in financial contexts\na family spends $2,984 per month on necessities. they decide to save 12% of their gross income for a vacation. they want the ratio of necessities and vacation savings to gross income to equal 0.65. complete the equation they can use to find the monthly gross income, x, they need to earn to meet these goals.\n = \\frac{2,984+ x}{x}

rational equations in financial contexts\na family spends $2,984 per month on necessities. they decide to save 12% of their gross income for a vacation. they want the ratio of necessities and vacation savings to gross income to equal 0.65. complete the equation they can use to find the monthly gross income, x, they need to earn to meet these goals.\n = \\frac{2,984+ x}{x}

Answer

Explanation:

Step1: Identify vacation - savings amount

The family saves 12% (or 0.12) of their gross income $x$ for vacation. So the vacation - savings amount is $0.12x$.

Step2: Set up the ratio equation

The ratio of necessities ($2984$) and vacation savings ($0.12x$) to gross income $x$ is equal to 0.65. So the equation is $0.65=\frac{2984 + 0.12x}{x}$.

Answer:

$0.65=\frac{2984 + 0.12x}{x}$