Mathematics: RecycledCDs, Incorporated, offers a choice of 5 used CDs for $23, With each additional CD costing $7. Write a cost function for purchasing 5 or more CDs. What will the cost of buying 12 CDs be? Let x represent the number of CDs over 5.

RecycledCDs, Incorporated, offers a choice of 5

lionscoachjose

02.02.2022

C(n)= 7n - 12 -- Cost Function

Cost of buying 12CDs is $72

Step-by-step explanation:

Given

$Base\ Amount = \$23$

$Additional\ CD\ Amount = \$7$

Solving (a): Cost Function

Let n represent CDs greater than 5

$Cost Function = Base Amount + Additional\ CD\ Amount * (n - 5)$

Substitute:

$Base\ Amount = \$23$ and $Additional\ CD\ Amount = \$7$

$Cost\ Function = 23 + 7 * (n - 5)$

$Cost\ Function = 23 + 7(n - 5)$

Open Bracket

$Cost\ Function = 23 + 7n - 35$

Collect Like Terms

$Cost\ Function = 7n - 35 + 23$

$Cost\ Function = 7n -12$

C(n)= 7n - 12

Solving (b): When n = 12

Substitute 12 for n in C(n)= 7n - 12

C(12) = 7 * 12 -12

C(12) = 84 - 12

C(12) = 72

Cost of buying 12 CDs is $72

0,0(0 оценок)

godchaux15395

05.11.2021

(x-4) is a factor of 3x^2-13x+4

(3x^2-13x+4)+(x-4)=(3x-1)

The number 4 is a root of F(x)=3x^2-13x+4

Step-by-step explanation:

0,0(0 оценок)