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m is filling a 2.5 gallon watering can at a rate of 0.5 gallon per minute. What is the domain of the function that represents the volume of

m is filling a 2.5 gallon watering can at a rate of 0.5 gallon per minute. What is the domain of the function that represents the volume of water in the can after x minutes

Asked by: Guest | Views: 66
Total answers/comments: 1
Guest [Entry]

"The domain is 0 =< x =< 5 or [0,5].

EXPLANATION:

It takes 5 minutes to fill up the watering can.
Therefore, the domain is [0,5].

SOLUTION:

The function is

f(x) = 0.5x

where x
is the time in minutes

and f(x)
is the volume of the water in gallons

From the given, the range is 0 =< f(x) =< 2.5

Substituting f(x) with the two numbers, you will get

(i) 0 = 0.5x
(ii) 2.5 = 0.5x

Solving,

(i) x = 0
(ii) x = 5

Substituting the range with the x values to get the domain,
From 0 =< f(x) =< 2.5 to

0 =< x =< 5 or
[0,5]"