Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and
charges $15 per gigabyte for any additional data used. The monthly charges are a function of
the number of gigabytes of data used, given by
C (x) = (x)
39, if 0 ⩽ x ⩽ 2
39 + 15 (x − 2), if x > 2
(a) Find C(0.5), C(2), and C(4) .
(b) What do your answers in part (a) represent?
(c) Is C(x) continuous at x = 2?

A Cell Phone Plan Costs 39 A Month The Plan Includes 2 Gigabytes GB Of Free Data And Charges 15 Per Gigabyte For Any Additional Data Used The Monthly Charges Ar class=

Sagot :

a) The cost of the cell phone plan at x = 0.5, x = 2, and x = 4 are:

C(0.5) = 39,  C(2)  =  39,  C(4)  =  69

b) Answers in part (a) represents the values of C at x = x₀. That is the cost of the cell phone given a certain amount of gigabytes of free data

c) C(x) is continuous at x = 2

Monthly cost of the cell phone C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5)  =  39

The monthly charges when given 2 gigabytes of data is $39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2)  =  39

Since x = 4 is in the range x  >  2

C(4) = 39 + 15(x - 2)

C(4) = 39  +  15 (4 - 2)

C(4)  =  39  +  15(2)

C(4)  =  39  +  30

C(4)  =  69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2)   =  39

[tex]\lim_{x \to 2} C(x) = 39[/tex]

Since [tex]\lim_{x \to 2} C(x) = C(2)[/tex], the function C(x) is continuous at x = 2

Learn more here: https://brainly.com/question/20710468

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.