Statement 1:
Statement: Julia read 12 pages of her required reading assignment in 3 days.
If the rate remains the same, Julia will read 4 pages the next day.
True or False: False
Justification: To find the daily reading rate, we calculate how many pages Julia reads per day:
12 pages / 3 days = 4 pages per day.
However, the statement assumes she will read 4 pages the next day without considering that 4 pages per day means she has already read 4 pages. If she continues at the same rate, she will read another 4 pages on the next day, leading to a total of 8 pages read at that point. Thus, while the daily rate is 4 pages, the phrasing of the statement could lead to confusion about her total pages read.
Statement 2:
Statement: Juan and Sarah took a road trip.
They drove for 4 days and traveled 2000 miles.
The constant rate they drove was 500 miles per day.
True or False: True
Justification: To find the average daily mileage, divide the total distance by the number of days:
2000 miles / 4 days = 500 miles per day.
Thus, the statement about a constant rate of 500 miles per day is accurate based on the provided data.
Statement 3:
Statement: Sam shot a total of 50 free throws in the 10-game season.
Sam shot 10 free throws each game.
True or False: False
Justification: If Sam shot 10 free throws each game over 10 games, he would have made a total of:
10 free throws/game * 10 games = 100 free throws.
Since the statement claims he shot only 50 free throws, the assumption that he shot 10 per game is incorrect. Therefore, he could not have averaged 10 free throws per game if his total was only 50.
5 answers