Question

Jack is buying a subscription to a magazine club the function C equals 45+3.75M describes the cost of a yearly subscription see in terms of the number of magazines he orders what is appropriate domain for the function

Answer 1

Given:

The cost function of a yearly subscription is

`C=45+3.75M`

where, M is the number of magazines.

To find:

The appropriate domain.

Solution:

We have,

`C=45+3.75M`

Domain is the set of input values and here input variable is M, which is number of magazines.

Linear function is defined for all input values. But the number of magazines can not be negative or decimal or fractional values. So, the possible value of M is always a whole number.

Therefore, the domain for the function is the set of whole numbers, i.e., {0, 1, 2, 3, ....}.