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Let's let "t" represent the number of months and "n" represent the total number of dollars in Olivia's account.
Initially, Olivia deposits $3000 into her account.
For every month that passes, Olivia's account earns an additional $3 in interest. Therefore, the linear function can be represented as:
n(t) = 3000 + 3t
Where n(t) is the total number of dollars in Olivia's account after "t" months.
So, the equation of the linear function that models the relationship between the number of months and the total number of dollars in Olivia's account is:
n(t) = 3000 + 3t