Suppose you receive $100 for a graduation present, and you deposit it in a savings account. then each week thereafter, you add $5 to the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed. Use your equation to find when you will have $310 in the account.

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absor201 absor201 · Answer 1 · 2019-12-11T17:35:39+01:00

You will have $310 in your account after 42 weeks.

Step-by-step explanation:

Graduation present = $100

Amount deposited per week = $5

Let, x be the number of weeks, therefore, the function is

f(x) = 100+5x Eqn 1

We will put f(x)=310 in Eqn 1 to find number of weeks.

[tex]310=100+5x\\310-100=5x\\210=5x\\5x=210\\[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{210}{5}\\x=42[/tex]

You will have $310 in your account after 42 weeks.

Keywords: function, division

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