To determine which statement is true, let's analyze the information provided.
-
Peter's Sales:
- Peter starts with 300 boxes and sells 15 boxes per day.
- Therefore, in one day, he would have:
- Day 0: 300 boxes
- Day 1: 300 - 15 = 285 boxes
- Day 2: 285 - 15 = 270 boxes
- Day 3: 270 - 15 = 255 boxes
- His average rate of cookies sold per day is 15 boxes.
-
Catherine's Sales (as given in the table):
- Day 0: 300 boxes
- Day 1: 250 boxes (sold 50 boxes that day)
- Day 2: 200 boxes (sold another 50 boxes)
- Day 3: 150 boxes (sold another 50 boxes)
- Thus, Catherine sells 50 boxes per day on average.
Next, let's evaluate the statements:
A. Peter’s average rate of boxes of cookies sold per day is higher than Catherine’s average rate.
- This is false. Peter sells 15 boxes per day, while Catherine sells 50 boxes per day.
B. Catherine’s average rate of boxes of cookies sold per day is higher than Peter’s average rate.
- This is true. Catherine sells 50 boxes per day, which is higher than Peter's 15 boxes per day.
C. Catherine begins with more boxes of cookies than Peter.
- This is false. Both start with 300 boxes.
D. Peter begins with more boxes of cookies than Catherine.
- This is false. Both start with the same number of boxes (300).
Thus, the correct response is:
B. Catherine’s average rate of boxes of cookies sold per day is higher than Peter’s average rate.
1 answer