Problem A concrete mixer currently contains 250 liters of water into which 500 kilograms of cement have been mixed. A tap will open pouring 10 liters per minute of water into the mixer at the same time cement is poured into the mixer at a rate of 5 kilograms per minute. a) Define a rational equation that models the concentration – or ratio of cement to water – in concrete over time. b) Find the concentration (kilograms per liters) of cement in the mixer at the beginning. c)Find the concentration (kilograms per liters) of cement in the mixer after half an hour.What happens to the concentration from the beginning and after half an hour? s) What is the horizontal asymptote? Show how you calculated the horizontal asymptote. What does the horizontal asymptote tell us in the context of this problem? e) What is the domain in the given problem?
Problem
A concrete mixer currently contains 250 liters of water into which 500 kilograms of cement have been mixed. A tap will open pouring 10 liters per minute of water into the mixer at the same time cement is poured into the mixer at a rate of 5 kilograms per minute.
a) Define a rational equation that models the concentration – or ratio of cement to water – in concrete over time.
b) Find the concentration (kilograms per liters) of cement in the mixer at the beginning.
c)Find the concentration (kilograms per liters) of cement in the mixer after half an hour.What happens to the concentration from the beginning and after half an hour?
s) What is the horizontal asymptote? Show how you calculated the horizontal asymptote. What does the horizontal asymptote tell us in the context of this problem?
e) What is the domain in the given problem?
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