Question

Find each unit rate and determine which rate is greater.

1. 250 mi per 10 gal or 460 mi per 20 gal
2. 1,000 words in 20 min or 2,475 words in 45 min
3. 6 in. of rain in 4 h or 8 in. of rain in 5 h

Answer 1

The greater rates calculated were 25 miles per gallon for the first comparison, 55 words per minute for the second, and 1.6 inches of rain per hour for the third.

Step-by-step explanation:

To find each unit rate, we divide the numerator by the denominator and compare the results.

To find miles per gallon, 250 mi/10 gal gives us 25 miles per gallon (mpg). Similarly, 460 mi/20 gal gives us 23 mpg. Therefore, 25 mpg is greater than 23 mpg.

For words per minute, 1,000 words/20 min gives us 50 words per minute (wpm), and 2,475 words/45 min gives us approximately 55 wpm. Thus, 55 wpm is greater than 50 wpm.

For inches of rain per hour, 6 in./4 h gives us 1.5 inches per hour, and 8 in./5 h gives us 1.6 inches per hour. Therefore, 1.6 inches per hour is greater than 1.5 inches per hour.