Question

the chef at andys restaurant used \\(\frac{2}{3}\\) of a bag of onions in \\(\frac{1}{6}\\) of an hour. compute the unit rate of bags of onions per hour. a 2 bags per hour b 3 bags per hour c 4 bags per hour d 6 bags per hour

Explanation:

Step1: Recall unit rate formula

Unit rate (bags per hour) is total bags used divided by total hours taken. So, we use the formula: \(\text{Unit Rate} = \frac{\text{Bags of onions used}}{\text{Time in hours}}\)

Step2: Substitute the given values

Bags of onions used \(= \frac{2}{3}\), Time in hours \(= \frac{1}{6}\). So, \(\text{Unit Rate} = \frac{\frac{2}{3}}{\frac{1}{6}}\)

Step3: Divide the fractions

Dividing by a fraction is multiplying by its reciprocal. So, \(\frac{\frac{2}{3}}{\frac{1}{6}}=\frac{2}{3}\times\frac{6}{1}\)

Step4: Simplify the multiplication

\(\frac{2\times6}{3\times1}=\frac{12}{3} = 4\)

Answer:

C. 4 bags per hour