Question

Error Analysis Jessie incorrectly said the rate 1/4 pound 1/8 gallon can be written as the unit rate 1/32 pound per gallon what is the correct unit rate? What was Jessie's likely error?

Answer 1

Explanation:

Given that 1/4 pounds = 1/8 gallons

We are to find the unit rate per gallon, hence we will say;

x pounds = 1 gallon

Equate both expression

1/4 pounds = 1/8 gallons

x pounds = 1 gallons

Cross multiply

1/8 * x = 1/4

divide both sides by 1/8

(1/8x)/(1/8) = (1/4)/(1/8)

x = 1/4 * 8/1

x = 1/4 * 8

x = 2 pounds

Hence the unit rate per gallon is 2 pounds per gallon

Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the