Homework8 section 5.2

Question

A model of the total cost C, in dollars, to produce n cell phones is given by C = 180n + 1,100.

 (See Example 6 in this section. Round numerical values to two decimal places when necessary.)

(a)

Find the C-intercept.

(n, C) = 0,1100

 

 

(b)

Find the n-intercept.

(n, C) =

 

 

Answer 1

Hello Riley,

a. The C-intercept is the value of C when n = 0

replace n by 0 in the original equation: C = 180*(0) + 1,100 = 0 + 1,100 = 1,100

(0,1,100) is the answer

b. The n-intercept is the value of n when C = 0, so replace C by 0 in the original equation to solve for n:

0 = 180n + 1,100

subtract 1,100 from both sides: -1,100 = 180n

Divide both sides by 180: -6.11 = n

(-6.11, 0) is the answer