Using a linear function, it is found that it will take Manny 15 months to save up the money for his car.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the initial deposit of $500 is the y-intercept, while the monthly deposit of $200 is the slope, hence the amount after n months is given by:
A(n) = 200n + 500.
The number of months it will take to get to $3500 is given by:
200n + 500 = 3500.
200n = 3000
n = 15.
More can be learned about linear functions at https://brainly.com/question/24808124
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