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Billy currently has $50 in his vacation fund. He earns $35 a week mowing lawns and spends $14 out of the $35 for entertainment. He puts the rest in his vacation fund. Which function can be used to determine a, the amount of money in Billy's vacation fund, in dollars, at the end of w weeks?

Answer :

calculista

Answer:

[tex]a=21w+50[/tex]

Step-by-step explanation:

Let

y ----> the amount of money

x ---> the number of weeks

we know that

The linear equation in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept or initial value

In this problem we have

The slope is equal to

[tex]m=(35-14)=\$21\ per\ week[/tex]

The y-intercept is equal to

[tex]b=\$50[/tex]

substitute

[tex]y=21x+50[/tex]

therefore

For x=w weeks

The function is

[tex]a=21w+50[/tex]

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