Question

Evan deposits $500 in a savings account that earns interest. Let f(t)=500 and g(t)=1.05t, where t represents the time, in years, since the account was opened.
Which expression models the amount of interest, in dollars, earned on the account as a function of time?
A. f(t)⋅g(t)

B. g(t)−f(t)

C. f(t)+f(t)⋅g(t)

D.f(t)⋅g(t)−f(t)

Answer 1

Answer:d

Step-by-step explanation:

Answer 2

The expression that models the amount of interest on the account as a function of time is f(t).g(t) -f(t).

What is simple interest?

'Simple interest is a technique used to calculate the proportion of interest paid on a sum over a set time period at a set rate.'

According to the given problem,

Total savings = $500

g(t) = 1.05t where, t = time in years.

f(t) = 500

We know simple interest = $\frac{P * r * t}{100}$

Therefore , as a function, we multiply g(t) with f(t) to get the total amount with interest. When we subtract the amount from f(t), we get the interest.

⇒ f(t).g(t) - f(t)

Hence we can conclude that the expression f(t).g(t) - f(t) can be used to find the interest.

Learn more about simple interest here: https://brainly.com/question/25845758

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