Question

The number of counselors at a summer camp must be equal to 1/4 the number of campers. Write a rule for the number of counselors that must be at the camp. Write ordered pairs for the number of counselors when there are 76, 100, 120, and 168 campers.

a) Ordered pairs: (76, 19), (100, 25), (120, 30), (168, 42)
b) Ordered pairs: (76, 304), (100, 400), (120, 480), (168, 672)
c) Ordered pairs: (76, 152), (100, 200), (120, 240), (168, 336)
d) Ordered pairs: (76, 38), (100, 50), (120, 60), (168, 84)

Answer 1

The rule for the number of counselors needed at a summer camp is one-fourth the number of campers. Using this rule, the correct ordered pairs for the given number of campers are (76, 19), (100, 25), (120, 30), and (168, 42), which correspond to option a.

Step-by-step explanation:

The question asks us to write a rule for the number of counselors required at a summer camp, which should be equal to 1/4th the number of campers, and to provide ordered pairs for certain numbers of campers.

Let C represent the number of counselors and let N represent the number of campers. The rule can be written as:

• C = N/4

Using this rule, we can calculate the ordered pairs as follows:

• For 76 campers: C = 76/4 = 19, so the ordered pair is (76, 19)
• For 100 campers: C = 100/4 = 25, so the ordered pair is (100, 25)
• For 120 campers: C = 120/4 = 30, so the ordered pair is (120, 30)
• For 168 campers: C = 168/4 = 42, so the ordered pair is (168, 42)

The correct ordered pairs based on the rule provided are therefore option a: (76, 19), (100, 25), (120, 30), (168, 42).