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Enrico deposited
$2000 in a savings account. Each month he will deposit an additional
$25.
Which kind of function best models the relationship between time and the total amount in the savings account?
Choose 1 answer:
(A) Linear
(B) Exponential

Enrico deposited $\$ 2000$ in a savings account. Each month he will deposit an additional $\$ 25$ . $\newline$ Which kind of function best models the relationship between time and the total amount in the savings account? $\newline$ Choose $1$ answer: $\newline$ (A) Linear $\newline$ (B) Exponential

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Identify linear and exponential functions from word problem

Full solution

Q. Enrico deposited

\$ 2000

in a savings account. Each month he will deposit an additional

\$ 25

.

\newline

Which kind of function best models the relationship between time and the total amount in the savings account?

\newline

Choose

1

answer:

\newline

(A) Linear

\newline

(B) Exponential

Problem Understanding: Understand the problem. $\newline$ Enrico deposits $\$2000$ initially and then adds $\$25$ each month. We need to determine if this situation is best modeled by a linear or an exponential function.
Pattern Analysis: Analyze the pattern of deposits. $\newline$ The initial deposit is a fixed amount, and the additional deposit each month is also a fixed amount. This suggests that the total amount increases by the same amount each month.
Function Type Determination: Determine the type of function. $\newline$ Since the total amount increases by a constant amount ( $\$25$ ) each month, the relationship between time (in months) and the total amount of money is a constant rate of change. This is characteristic of a linear function, not an exponential function, where the rate of change itself would be increasing.

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