(1 point) Let r be time in seconds and let r(t) be the rate, in gallons per seco
ID: 2910675 • Letter: #
Question
(1 point) Let r be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t) = 900-35. (a) Evaluate the expression 15)- (b) Which one of the statements below best describes the physical meaning of the value of r(5) A. How many seconds until the water is entering to reservoir at a rate of 5 gallons per second. B. The rate at which the rate of the water entering the reservoir is decreasing when 5 gallons remain in the reservoir. C. The total amount, in gallons, of water in the reservoir after 5 seconds D. The rate, in gallons per second, at which the water is entering reservoir after 5 seconds. E. None of the above (c) For each of the mathematical expressions below, match one of the statements A-E below which best explains its meaning in practical terms. 1. The slope of the graph of r(t) 2. The vertical intercept of the graph of r) A. The rate at which the rate of water entering the reservoir is decreasing in gallons per second squared B. The average rate, in gallons per second, at which water is flowing out of the reservoir. C. How many seconds it takes until there is no longer any water in the reservoir. D. The initial amount of water, in gallons, in the reservoir. E. The rate, in gallons per second, at which the water is initially entering the reservoir. (d) For O SiS 45, when doos the reservoir have the most water? When t = s0C. (e) For0 s is 45, when does the reservoir have the least water? When t = sec. (0 If the domain of r(t) is 0SiS45, what is the range of r0)? range (enter your answer in interval notation, or an inequality in r: help (inequalities)Explanation / Answer
r(t)=900-35t
r(t)=-35t+900
a. r(5)=-35(5)+900=725
b.
r(5) tells the total amount of water after 5 secs. SO the correct option is C
c.slope represents the rate at which water enters the reservoir .
So the correct option is E
vertical intercept=900 which tells the initial amount. SO the correct option is D
d. r(t)=900-35t
So at t=0, that is r(0)=900-0=900, the reservoir have the most water
e. Least is when reservoir have no water
0=900-35t
t=900/35=25.7
SO at 25.7, the reservoir have least water .
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