The ratio of the number of gallons a pump moves water to the number of hours it is pumping is 135 to 5. at which rate is the pump moving water? a) 15 gallons per hour b) 25 gallons per hour c) 27 gallons per hour d) 31 gallons per hour

B)  The gallon per hour rate of moving water of the pump is 25 gallons per hour.

Step-by-step explanation:

The ratio of -

Number of gallons a pump moves water :  Number of hours it is pumping

=  135 :  5

Or, for every 5 hours of pumping, the pump moves 135 gallon of water.

BY UNITARY METHOD:

In 5 hours, pump moves 135 gallons of water.

⇒In 1 hours, pump moves( 135/5) gallons of water.

or, in 1 hour, the pump moves 25 gallons of water.

Hence, the gallon per hour rate of the pump is 25 gallons per hour.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

60: 45 =12: 9 =4: 3 so the answer is 4: 3