Question

The table shows the rate at which water is being pumped into a swimming pool. Time (min) 2 5 7. 12 Amount (gal) 28 70 98 168 Use the unit rate and the amount of water pumped after 12 minutes to find how much water will have been pumped into the pool after 15 minutes. Complete the explanation of your reasoning. 2 The unit rate is gal/min. So 3 - minutes after 12 minutes, an additional gallons will be pumped in. A total of gallons will have been pumped Into the pool after 15 - minutes.

Answer 1

The unit rate of the relation between water pumped and time will be the amout of water pumped in one minute so:

`(28)/(2)=14`

this means that each minute is pumped 14 gallons of water

now we can calculate the water pumped in 3/2 minutes so

`14\cdot(3)/(2)=21`

So in total the addition of the water pumped in 12 minutes plus 3/2 minutes will be the water pumped in 15/2 minutes

`14\cdot(15)/(2)=105`