Question
The function models the number of water hyacinths in a population over time, where A(t) is the number of water hyacinths and is the time, in days since the population was measured. Which is the best interpretation of in this context?
- The number of water hyacinths doubled times
- The number of water hyacinths doubled every 6 days
- The number of water hyacinths increased by 2 every days
- The number of water hyacinths increased by 2 every days
The correct answer is: The number of water hyacinths doubled every 6 days
HINT: Take values of to be multiples of 6. Then we get an increase of water hyacinths every 6 days.
Complete step by step Solution
Let the first value of t to be 6.
we get
Let t = 12,
Then we get
Let t = 18,
Then we get
Here, we can see that the numbers are getting doubled.
Hence, we can conclude that the number of water hyacinths doubles every 6 days.
Option B is the correct answer.
Related Questions to study
The graph of the function f is shown. Which of the following is the value of x for which f(x) = 0 ?
The graph of the function f is shown. Which of the following is the value of x for which f(x) = 0 ?
What is the graph of the equation ?
What is the graph of the equation ?
Two beach balls are each in the shape of a sphere. The larger beach ball has a diameter of 3x, and the smaller beach ball has a diameter of x. What is the ratio of the volume of the larger beach ball to volume of the smaller beach ball?
volume of a sphere
A sphere is a collection of points in space separated by r from the center. The quantity of space a solid in three dimensions takes up is known as its volume. The unit of volume is measured in cubic (in3, ft3, cm3, m3, et cetera). Before calculating the volume, ensure all measurements are in the same unit.
Follow the steps below to determine the volume of a given sphere:
Step 1: Compare the radius of the given sphere. If you know the diameter of the sphere, divide it by two to get the radius.
Step 2: Find the radius of r'³s cube.
Step 3: Now divide it by (4/3) π
Step 4: The volume of the sphere will be the final answer.
The volume V of a sphere is equal to four-thirds of pi times the cube of the radius.
V = 4/3πr³
A hemisphere's volume is equal to one-half that of its related sphere.
Two beach balls are each in the shape of a sphere. The larger beach ball has a diameter of 3x, and the smaller beach ball has a diameter of x. What is the ratio of the volume of the larger beach ball to volume of the smaller beach ball?
volume of a sphere
A sphere is a collection of points in space separated by r from the center. The quantity of space a solid in three dimensions takes up is known as its volume. The unit of volume is measured in cubic (in3, ft3, cm3, m3, et cetera). Before calculating the volume, ensure all measurements are in the same unit.
Follow the steps below to determine the volume of a given sphere:
Step 1: Compare the radius of the given sphere. If you know the diameter of the sphere, divide it by two to get the radius.
Step 2: Find the radius of r'³s cube.
Step 3: Now divide it by (4/3) π
Step 4: The volume of the sphere will be the final answer.
The volume V of a sphere is equal to four-thirds of pi times the cube of the radius.
V = 4/3πr³
A hemisphere's volume is equal to one-half that of its related sphere.