the number of counselors must be 1/4 of the number of campers. write a rule for the number of counselors that must be at camp. wrote ordered pairs for the number of counselors when there are 76, 100, 120, and 168 campers.
To write a rule for the number of counselors that must be at camp, we can use the given information that the number of counselors must be 1/4 of the number of campers.
Let's denote the number of campers as 'C' and the number of counselors as 'N'.
The rule can be written as:
N = 1/4 * C
Now, we can substitute the values of campers into this rule to find the corresponding number of counselors.
Ordered pairs for the number of counselors:
When there are 76 campers:
N = 1/4 * 76
N = 19
When there are 100 campers:
N = 1/4 * 100
N = 25
When there are 120 campers:
N = 1/4 * 120
N = 30
When there are 168 campers:
N = 1/4 * 168
N = 42
So, the ordered pairs for the number of counselors when there are 76, 100, 120, and 168 campers are (19, 76), (25, 100), (30, 120), and (42, 168) respectively.
To write a rule for the number of counselors that must be at camp, we need to express the relationship between the number of counselors and the number of campers. According to the given condition, the number of counselors must be 1/4 of the number of campers.
Let's denote:
- C as the number of counselors
- N as the number of campers
Based on the condition, we can write the following rule:
C = 1/4 * N
Now, let's find the number of counselors for the given number of campers:
For N = 76:
C = 1/4 * 76
C = 19
For N = 100:
C = 1/4 * 100
C = 25
For N = 120:
C = 1/4 * 120
C = 30
For N = 168:
C = 1/4 * 168
C = 42
Therefore, the ordered pairs for the number of counselors (C) when there are the respective numbers of campers (N) are:
(19, 76)
(25, 100)
(30, 120)
(42, 168)
If there are x campers and y counselors, then
y = 1/4 x
Now just plug in the various numbers for x. For example
y(8) = 8/4 = 2
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