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Karis receives $90000 per year working as a manager. She spends 15% every 3 month on her daughters college tuition. Write a function rule for the amount of money that Karis still has as a function of time in month

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MrRoyal

Answer:

[tex]f(m) = 90000 - 0.05m[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$90000[/tex]

[tex]Spending = 15\%[/tex] -- every 3 months

Required

Determine the function that shows her monthly balance:

Represent month with m

If she spends 15% every 3 months;

Then

She spends 5% every month

i.e.

[tex]monthly = \frac{15\%}{3}[/tex]

[tex]monthly = 5\%[/tex]

If [tex]1\ month = 5\%[/tex]

Then

[tex]m\ months = 5\% * m[/tex]

Monthly balance (f(m) is then calculated as:

[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]

[tex]f(m) = 90000 - 5\% * m[/tex]

[tex]f(m) = 90000 - 0.05 * m[/tex]

[tex]f(m) = 90000 - 0.05m[/tex]

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