Bailey studies 3 days for her final exam in History. The first day she studied 1 1/2
hours. On day 2 she studied 1/2
as long as she did on day 1 and on day 3 she studied 2 1/2
times as long as she did on day 1. How many hours did she study over the three day period?
Responses
A 5 1/4 hours
B 6 hours
C 7 hours
D 7 3/4 hours
To find the total number of hours Bailey studied over the three-day period, we need to add up the number of hours she studied each day.
On day 1, she studied 1 1/2 hours.
On day 2, she studied 1/2 * 1 1/2 = 3/4 hours.
On day 3, she studied 2 1/2 * 1 1/2 = 5/2 * 3/2 = 15/4 hours.
Adding up the hours from each day, we get:
1 1/2 + 3/4 + 15/4 = 3/2 + 3/4 + 15/4 = (6 + 3 + 15)/4 = 24/4 = 6 hours.
Therefore, Bailey studied 6 hours over the three-day period.
So the answer is option B, 6 hours.
To find out how many hours Bailey studied over the three-day period, we will add up the hours she studied on each day.
On the first day, she studied for 1 1/2 hours (or 1.5 hours).
On the second day, she studied for 1/2 as long as she did on the first day. Therefore, she studied for 1.5 hours * 1/2 = 0.75 hours.
On the third day, she studied for 2 1/2 times as long as she did on the first day. Therefore, she studied for 1.5 hours * 2.5 = 3.75 hours.
To find the total hours she studied, we add up the hours of each day: 1.5 hours + 0.75 hours + 3.75 hours = 6 hours.
So, Bailey studied for a total of 6 hours over the three-day period.
The correct answer is B) 6 hours.
To find out how many hours Bailey studied over the three day period, we need to add up the number of hours she studied on each day.
On day 1, she studied for 1 1/2 hours, which is equal to 1.5 hours.
On day 2, she studied half as long as she did on day 1. So, she studied for 1/2 * 1 1/2 hours = 3/4 hours.
On day 3, she studied 2 1/2 times as long as she did on day 1. So, she studied for 2 1/2 * 1 1/2 hours = 3 3/4 hours.
To find the total number of hours Bailey studied, we add up the number of hours from each day:
1.5 + 3/4 + 3 3/4 = 1.5 + 0.75 + 3.75 = 5.25 hours.
Therefore, Bailey studied for a total of 5 1/4 hours over the three day period.
The answer is A) 5 1/4 hours.