Question
Haimi drove a car from West Union, Minnesota, through North Dakota, to Miles City, Montana. The total distance she traveled through each state is shown in the figure.
The distance d, in miles, Haimi drove as a function of the time t, in hours, since she started driving is modeled by the equation d = 60t.
What interval represents all values of during which Haimi drove in North Dakota?
The correct answer is:
HINT: Use the driving model equation and then we get time traveled to cover each location.
Complete step by step Solution
Given equation is d = 60t.
To cover 120 miles through Minnesota, she takes hours.
Likewise, To cover 360 miles through North Dakota, she takes hours.
Likewise, To cover 120 miles through Minnesota, she takes hours.
So she travels for 2 + 6 + 2 = 10 hours in total.
The interval which Haimi drove in North Dakota is .
That is, through Minnesota (2 hours),(6 hours) through North Dakota and (2 hours) through Minnesota.
Hence option B is the correct answer.
Related Questions to study
Haimi drove a car from West Union, Minnesota, through North Dakota, to Miles City, Montana. The total distance she traveled through each state is shown in the figure.
The distance , in miles, Haimi drove as a function of the time , in hours, since she started driving is modeled by the equation d = 60t.
According to the model, what distance, in miles, had Haimi driven 3 hours after she started driving?
Haimi drove a car from West Union, Minnesota, through North Dakota, to Miles City, Montana. The total distance she traveled through each state is shown in the figure.
The distance , in miles, Haimi drove as a function of the time , in hours, since she started driving is modeled by the equation d = 60t.
According to the model, what distance, in miles, had Haimi driven 3 hours after she started driving?
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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.