Question

a 20 gallon tub is being filled with water at a rate of 0.5 gallons per minute. the tub originally had 5 gallons of water in it. what is the range of the fuction that represents the volume iof water in the tub after x minutes

Answer 1

The range of the function that represents the volume if water throughout the tub after x minutes will be "$5 \leq V(x) \leq 20$".

According to the question,

V(x) is volume after x minute.

then,

→ $V(x) = 0.5x+5$

Volume of bathtub is 20 gallons,

→ $20=0.5x+5$

By substracting "5" from both sides of the equation, we get

→ $20-5=0.5x+5-5$

→       $15=0.5x$

→         $x = \frac{15}{0.5}$

→         $x = 30\ minutes$

hence,

→ $5 \leq V(x) \leq 20$

Thus the above answer is right.

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