# Hotmath

In the exponential function given below, identify the initial amount and the growth rate.

*
y
*
= 250(1 + 0.2)
*
^{
t
}
*

In the exponential function given below, identify the initial amount and the growth rate.

*
y
*
= 9.8(1.35)
*
^{
t
}
*

Write an exponential growth function to model the situation.

A population of 422,000 increases by 12% each year.

Write an exponential growth function to model the situation.

You start with $30,000 and earn 15% interest each year.

Percentage of increase = 15%

Number of years = 25

An initial population of 750 endangered turtles triples each year for 5 years. Find the growth factor for the population and the population after 5 years.

The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.

If a person takes
*
A
*
milligrams of a drug at time 0, then
*
y
*
=
*
A
*
(0.7)
*
^{
t
}
*
gives the concentration left in the bloodstream after

*t*hours. If the initial dose is 125 mg, what is the concentration of the drug in the bloodstream after 3 hours?

Does the equation
*
y
*
= 11(1.11)
^{
t
}
model exponential growth or exponential decay?

Find the growth or decay factor and the percent change per time period.