A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining.
What is the range of this relation?
A: y ≥ 0
B: y ≤ 500
C: 0 ≤ y ≤ 500
D: 0 ≤ y ≤ 10
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COLLEGE ALGEBRA WORD PROBLEM
Syaire W. asked • 11/01/16
300 gallon tank is initially full of water and being drained at a rate of 10 gallons per minute
1)Write a formula for a function W that gives the number of gallons of water in the tank after t minutes.
2) how much water is in the tank after 7 minutes
3) find the domain
4)graph W identify and interpre the intercepts
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1 Expert Answer
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David W. answered • 11/01/16
I'll help you understand math!
Syaire, if we start with 300 gallons and take 10 gallons away every minute, then every minute, 10t gallons are gone.
W = 300 - 10t
After 7 minutes, 300 - 10(7) = 300 - 70 = 230 gallons are left.
The domain is the limit of our input, or t in this case. Our lowest value is 0, because we are not considering the time before the tank is being emptied. Our max time is once the tank is emptied, or when W = 0.
0 = 300 - 10t
10t = 300
t = 30
So, our domain is 0 < t < 30
You should be able to graph this, with t along the x-axis and W along the y-axis.
The y-intercept, 300, is when we pull the plug and the tank is still full. The x-intercept is where the tank is empty.
Answer:
The answer is C.
Step-by-step explanation:
The amount of water left in the tank depends on the number of minutes it’s been draining, so the dependent variable is the amount of water left in the tank. The range represents all possible values of the dependent variable. Because the minimum amount of water in the tank is 0 gallons and the maximum amount of water is 500 gallons.
I just did it & got it right.