a cell phone plan costs $35 per month plus 5 cents each minute of use.

Question

a. write a function for the cost of the plan. What are the domain and range of the function? 

 

b. How much would you expect your monthly bill to be if you used 345.6 minutes last month?

Answer 1

a)

C=cost

m=# of minutes used

C=$35+$0.05(m)

domain=m and range=C (domain is 0 minutes or greater and range is $35 or greater)

 

b)

C=$35+$0.05(345.6)

C=$35.00+$17.28

C=$52.28

Answer 2

C(t)=35+0.05t

 

Domain: x>0

 

Range: y >35

 

C(t)=35 + 0.05t

=35+0.05(345.6)

=52.28