Question

A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and

Answer 1

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

b) Answers in part (a) represents the values of C at x = x₀

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

C (x) = 39 for 0 ⩽ x ⩽ 2

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

C(0.5)  =  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

$\lim_{x \to 2} C(x) = 39$

Since $\lim_{x \to 2} C(x) = C(2)$, the function C(x) is continuous at x = 2

Learn more here: brainly.com/question/20710468