Section 3.2
1. Determine the exponential function that satisfies the
given conditions:
initial height: 18 cm
growing at a rate of 5.2% per
week
2. Determine the exponential function that satisfies
the given conditions: Initial value: 5
Increasing at a rate of 17% per
year
3. The half-life of a certain radioactive substance is 65
days. There are 3.5 g present initially.
a) Express the amount of substance remaining as a
function of time.
b) When will there be less than 1 g remaining?
4. What is the initial amount and the rate of change in
the following exponential equation?
5. Determine whether the function is exponential
decay or growth. Find the percentage rate of
change.
6. Write the exponential equation for the given
conditions:
Initial mass = 592 g
halving once every 6 years.
7. Determine the exponential function that satisfies the
given conditions:
Initial population: 28,900
Decreasing at a rate of 2.6% per year
8. Determine if the function is exponential growth or
decay:
9. Tell whether the function is an exponential growth
or exponential decay function and find the rate of
growth or decay: