Answer:
- 2. 1/12 minutes per gallon ≈ 0.083 minutes per gallon
The tables are below.
Step-by-step explanation:
The question is incomplete, the complete question is:
- A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes per gallon
Solution
A table of equivalent ratios show the same ratio using different numerators and denominators.
How do yo build a table of equivalent ratios?
Start with your known ratio: this is 36 gallons / 3 minutes
1. Start the table:
Gallons supply
Gallons | 36 |
Minutes | 3 |
2. Multiply or divide both numerator and denominator by a common integer number.
If you are going to divide, the divisor has to be a common factor of both numerator and denominator. The least common of 36 and 3 is 3.
Thus, divide by 3:
Thus, you can write the first equivalent ratio in your table:
Gallons | 36 | 12 |
Minutes | 3 | 1 |
Since the denominator of the second value of the table is 1, that is the number of gallons per minute.
The: 12 gallons per minute.
3. To find the number of minutes per gallon, you must find and equivalent ratio whose denominator is 1 gallon
Thus, swift the rows:
Minutes | 3 |
Gallons | 36 |
Divide both by 36:
- 3 ÷ 36 = 1 ÷ 12
- 36 ÷ 36 = 1
Minutes | 3 | 1/12 |
Gallons | 36 | 1 |
Thus, the equivalent ratio 1/12 to 1 means that 1/12 minutes per gallon, or about 0.083 minutes per gallon (1/12 = 0.08333 . . .)