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

Respuesta :

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