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

Given:

The cost function of a yearly subscription is

where, M is the number of magazines.

To find:

The appropriate domain.

Solution:

We have,

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, ....}.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!