An equation that represents the amount of money in the account,y, after x years is y = 258.33x - 183.33
Interest and amount
Let the interest accrued be x
Let the time taken be y
If a college savings account makes $75 a year in interest and after four years, the account has $850 this can be written in a coordinate form as (1, 75) and (4, 850)
Get the slope
slope m = 850-75/3
m = 258.33
Get the y intercept
75 = 258.33(1) + bb
75 - 258.33= b
b = - 183.33
Hence an equation that represents the amount of money in the account ,y, after x years is y = 258.33x - 183.33
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