7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?

Question

11-10-2021
Mathematics

contestada

7. The relation y = 7x + 35 represents the monthly cost y (in dollars) of a group of
x members joining the fitness club.
a. Identify the independent and dependent variables.
b. Your group has enough money for up to six members to join the fitness club.
Find the domain and range of the function.
c. Is the relation a function?

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graysonbrust graysonbrust · Answer 1 · 2021-10-11T07:34:05+02:00

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

A domain can not have multiple ranges. A range can have multiple domains though.