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?

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

where

m is the slope

b is the y-intercept or initial value

In this problem we have

The slope is equal to

The y-intercept is equal to

substitute

therefore

For x=w weeks

The function is

89

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17