kantanisha3 kantanisha3

07-05-2024
Mathematics

Answered

PLEASE ANSWER ASAP:
Tom is pumping air into a balloon for his sister's birthday party. The balloon has a volume of 500 cubic centimeters (cc) when fully inflated. He pumps air into the balloon at a rate of 10 cc per second.If Tom has already pumped air into the balloon for 30 seconds, what is the current volume of the balloon?How long will it take Tom to fully inflate the balloon from scratch?If Tom increases the pumping rate to 15 cc per second, how does this affect the time it takes to fully inflate the balloon?

Answer :

semsee45 semsee45

07-05-2024

Answer:

A) 300 cc

B) 50 seconds

C) Time taken to fully inflate the balloon will decrease to 33.33 seconds.

Step-by-step explanation:

Given that Tom pumps air into the balloon at a rate of 10 cc per second for a total of 30 seconds, then the current volume of air in the balloon is:

[tex]\sf Current\; volume = 10\; cc/s \times 30\; s = 300\; cc[/tex]

To determine the time in seconds it will take Tom to fully inflate the balloon from scratch, we divide the total volume of the balloon (500 cc) by the rate at which Toms pumps the air (10 cc per second):

[tex]\sf Time=\dfrac{500\;cc}{10\;cc/s}=50\;s[/tex]

If Tom increases the pumping rate to 15 cc per second, the time it will now take for him to fully inflate the balloon from scratch will decrease, as he can fill more of the balloon per second:

[tex]\sf Time=\dfrac{500\;cc}{15\;cc/s}=33.33\;s[/tex]

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