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Which of the following savings account plans would yield exponential growth of the money in the account?
Choose 1 answer:
(A)
2% of the initial value of the account is added to the value of the account each year.
B
1.5% of the current value of the account is added to the value of the account each year.
(C) A
$500 signing bonus is added when the account is first opened, and
0.5% of the initial value of the account is added to the value of the account each year.
(D)
A$100 customer loyalty bonus is added to the account each year.

Which of the following savings account plans would yield exponential growth of the money in the account? $\newline$ Choose $1$ answer: $\newline$ (A) $2 \%$ of the initial value of the account is added to the value of the account each year. $\newline$ (B) $1.5 \%$ of the current value of the account is added to the value of the account each year. $\newline$ (C) A $\$ 500$ signing bonus is added when the account is first opened, and $0.5 \%$ of the initial value of the account is added to the value of the account each year. $\newline$ (D) $\mathrm{A} \$ 100$ customer loyalty bonus is added to the account each year.

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Evaluate two-variable equations: word problems

Full solution

Q. Which of the following savings account plans would yield exponential growth of the money in the account?

\newline

Choose

1

answer:

\newline

(A)

2 \%

of the initial value of the account is added to the value of the account each year.

\newline

(B)

1.5 \%

of the current value of the account is added to the value of the account each year.

\newline

(C) A

\$ 500

signing bonus is added when the account is first opened, and

0.5 \%

of the initial value of the account is added to the value of the account each year.

\newline

(D)

\mathrm{A} \$ 100

customer loyalty bonus is added to the account each year.

Examine option (A): Examine option (A): $2\%$ of the initial value is added each year. This is linear growth, not exponential, because it's a fixed amount each year based on the initial value.
Examine option (B): Examine option (B): $1.5\%$ of the current value is added each year. This is exponential growth because the amount added depends on the current value, which increases each year.
Examine option (C): Examine option (C): A $\$500$ bonus is added initially, and then $0.5\%$ of the initial value is added each year. This is similar to option (A) and represents linear growth, not exponential.
Examine option (D): Examine option (D): A $\$100$ bonus is added each year. This is linear growth because it's a fixed amount each year, not depending on the current value.

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