What is the formula for the volume of fuel in the tank as a function of depth?

Understanding Fuel Volume and Depth Functions

Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
V(d) = 4 * (3d^2 + 5)^3
V(d) = 3 * (4d^2 + 5)^3
V(d) = 4 * (3d^2 + 5)^2
V(d) = 3 * (4d^2 + 5)^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the depth of fuel change over time according to the given formula?
d(t) = sqrt(3) * (sqrt(t) - 5)
d(t) = sqrt(3) / (sqrt(t) - 5)
d(t) = 1 / (sqrt(3) * sqrt(t) - 5)
d(t) = 1 / (sqrt(3) * sqrt(t) + 5)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in composing the volume function as a function of time?
Replace t with d in the volume formula
Replace d with t in the depth formula
Replace d with the depth function in the volume formula
Replace t with the volume function in the depth formula
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified expression for the volume as a function of time?
V(t) = 4t^3
V(t) = 3t^3
V(t) = 4t^2
V(t) = 3t^2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many cubic meters of fuel are in the tank after 2 hours?
16 cubic meters
24 cubic meters
40 cubic meters
32 cubic meters
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