janice is studying the effect of pipe size on water flow rates. in 12 minutes, 463.2 gallons of water flowed…

janice is studying the effect of pipe size on water flow rates. in 12 minutes, 463.2 gallons of water flowed from a 2 - inch pipe. in 7 minutes, 1730.4 gallons of water flowed from a 4 - inch pipe. based on janices data, what is the difference in flow rate between a 2 - inch and 4 - inch pipe?

janice is studying the effect of pipe size on water flow rates. in 12 minutes, 463.2 gallons of water flowed from a 2 - inch pipe. in 7 minutes, 1730.4 gallons of water flowed from a 4 - inch pipe. based on janices data, what is the difference in flow rate between a 2 - inch and 4 - inch pipe?

Answer

Explanation:

Step1: Calculate flow - rate of 2 - inch pipe

The flow - rate formula is $rate=\frac{volume}{time}$. For the 2 - inch pipe, the volume $V_1 = 463.2$ gallons and time $t_1=12$ minutes. So the flow - rate $r_1=\frac{463.2}{12}=38.6$ gallons per minute.

Step2: Calculate flow - rate of 4 - inch pipe

For the 4 - inch pipe, the volume $V_2 = 1730.4$ gallons and time $t_2 = 7$ minutes. So the flow - rate $r_2=\frac{1730.4}{7}=247.2$ gallons per minute.

Step3: Calculate the difference in flow - rates

The difference $\Delta r=r_2 - r_1$. Substitute $r_1 = 38.6$ and $r_2=247.2$ into the formula: $\Delta r=247.2−38.6 = 208.6$ gallons per minute.

Answer:

208.6 gallons per minute