The number of campers who sign up for archery each week is listed in the table. If the relationship is proportional, how many campers will sign up for archery in Week 3?
Week Archery Sign-Up Total Campers
1 36 120
2 45 150
3 ? 130
A. 54
B. 40
C. 41
D. 39*****
week 1: 36 people that sign up: 120 campers
week 2: 45 people that sign up: 150 campers
week 3 ? people that sign up: 130 campers
Does "?" = 39?
39 is correct
3 signed up for each 10 campers
To determine the number of campers who will sign up for archery in Week 3, we can use the concept of proportions.
In a proportional relationship, the ratio between the number of campers signing up for archery and the total number of campers should remain constant.
Let's find the constant ratio between the number of archery sign-ups and total campers for Weeks 1 and 2:
Week 1: Archery Sign-Up = 36, Total Campers = 120
Week 2: Archery Sign-Up = 45, Total Campers = 150
The ratio for Week 1 is 36/120 = 0.3, and for Week 2, it is 45/150 = 0.3. Thus, the ratio is constant, indicating a proportional relationship.
Now, using the same constant ratio, we can find the number of archery sign-ups for Week 3, where the total number of campers is 130:
0.3 = X/130
To find X, the number of campers signing up for archery in Week 3, we can cross-multiply:
0.3 * 130 = X
39 = X
Therefore, the number of campers who will sign up for archery in Week 3 is 39. Hence, the correct answer is D.
Thanks,... oobleck....yeah.
*sighs*