Jack is filling his new six person hot tub with a water hose. After 58 minutes, his hot tub has 318 gallons water. His hot tub holds 1,360 gallons of water. He adds another water hose that flows 50% faster. Find the constant of proportionality for the flow rate of the two water hoses combined? (round to nearest tenth)

A) 6.9

B) 8.2

C) 13.7

D) 16.4

Question

Mathematics

Leah Berger

9 August, 22:48

Jack is filling his new six person hot tub with a water hose. After 58 minutes, his hot tub has 318 gallons water. His hot tub holds 1,360 gallons of water. He adds another water hose that flows 50% faster. Find the constant of proportionality for the flow rate of the two water hoses combined? (round to nearest tenth)

A) 6.9

B) 8.2

C) 13.7

D) 16.4

+2

Answers (1)

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Tristian · Answer 1

Constant of proportionality?

I can find the rate of change

ok, so find first hose rate of change

gallons/minue=318/58=159gal/29min

y=159/29x for first hose

2nd hose

50% faster

times 3/2

477/58=2nd hose

constant of poroprotinality

y=kx

assuming y=amount and x is the time

add the rates

159/29+477/58=795/58=13.7

so the new one would be

y=13.7x

constant is 13.7

C