Question

recycled cds, incorporated, offers a choice of 5 used cds for $26, with each additional cd costing $4. write a cost function for purchasing 5 or more cds. what will the cost of buying 10 cds be? let x represent the number of cds over 5.
c(x) = \boxed{4x + 26}
(type an expression using x as the variable.)
the total cost for 10 cds is $ \boxed{46}.
(type an integer or a decimal.)

Explanation:

Step1: Define cost function

Let $x$ = number of CDs over 5. The base cost for 5 CDs is $26, plus $4 per extra CD.
$C(x) = 4x + 26$

Step2: Calculate x for 10 CDs

Find how many CDs are over 5.
$x = 10 - 5 = 5$

Step3: Compute total cost

Substitute $x=5$ into the cost function.
$C(5) = 4(5) + 26 = 20 + 26$

Answer:

Cost function: $C(x) = 4x + 26$
Total cost for 10 CDs: $\$46$