Answer:
The population after 15 years will be
Step-by-step explanation:
In this problem we have a exponential function of the form
where
a is the initial value
b is the base
r is the rate
b=(1+r)
x ----> the number of years
f(x) ----> the population
we have
The equation is
For x=15 years
substitute the value of x
therefore
The population after 15 years will be
Answer:
The function that models the depth of the hole in feet over time in hours is .
Step-by-step explanation:
According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:
(1)
Where:
- Current depth of the hole, measured in inches.
- Initial depth of the hole, measured in inches.
- Filled level, measured in inches.
- Filling time, measured in hours.
- Time, measured in hours.
If we know that ,
and
, then the function that models the depth of the hole is:
The function that models the depth of the hole in feet over time in hours is .