Question

identify the initial amount a and the rate of growth r (as a percent) of the exponential function H(t) = 175 (1.028)t. evaluate the function when t=5.

Answer 1

From the given exponential function, we have that:

• The initial amount is of 175.

• The growth rate is of 2.8%.

• When t = 5, we have that $H(5) = 201$.

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

• A(0) is the initial value.

• r is the growth rate, as a decimal.

In this problem, the function is:

$H(t) = 175(1.028)^t$

• The initial value is of $A(0) = 175$.

• The growth rate is of $0.028 = 2.8\%$, as $1 + r = 1.028 \rightarrow r = 0.028$.

When t = 5, we have that:

$H(5) = 175(1.028)^5 = 201$

You can learn more about exponential functions at https://brainly.com/question/25537936