Question

Evaluating an exponential function

Answer 1

Using the given exponential function, we have that:

• The initial amount is of 523 grams.

• The amount after 50 years will be of 165 grams.

What is an exponential function?

An exponential function is modeled by:

$y = ab^x$

In which:

• a is the initial value.

• b is the rate of change.

In this problem, the function is:

$A(t) = 523(0.5)^{\frac{t}{30}}$

Hence the initial amount is of 523 grams.

The amount after 50 years will be given by:

$A(50) = 523(0.5)^{\frac{50}{30}} = 165$

The amount after 50 years will be of 165 grams.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1