Question

a school hosted their annual \battle of the classes\ competition. in one round, contestants were given a bucket and had 30 seconds to juice as many lemons as possible. at the end of the round, the judges recorded how much juice was in each contestants bucket. use the line plot to answer the question below. amount of juice (line plot with xs at 1 1/4, 1 1/2 (multiple xs), and 1 3/4) how much more juice was in the bucket with the most juice than in the bucket with the least juice? write your answer as a fraction, mixed number, or whole number. cups

Explanation:

Step1: Identify the maximum and minimum values

From the line - plot, the minimum amount of juice is \(1\frac{1}{4}\) cups and the maximum amount of juice is \(1\frac{3}{4}\) cups.

Step2: Calculate the difference

We use the formula \(a - b\), where \(a = 1\frac{3}{4}=\frac{1\times4 + 3}{4}=\frac{7}{4}\) and \(b = 1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}\). Then \(a - b=\frac{7}{4}-\frac{5}{4}\).
Since \(\frac{7}{4}-\frac{5}{4}=\frac{7 - 5}{4}=\frac{2}{4}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)