Question

You purchase 12 packages of wrapping paper. Large packages cost $7 and small packages cost $4.50. Write and simplify an expression that represents the total cost if n of the 12 packages are large packages. Then find the total cost if 8 of the 12 packages are large packages.

Answer 1

In this question , n represent the large packages . And total number of packages =12.

So , total number of small packages=12-n

Cost of large packages=$7 and of small packages=$4.50 .

So total cost is the sum of cost of large packages and cost of small packages .

That is

$C(n) = 7n +4.50(12-n) \\ C(n) = 7n+54-4.50n \\ C(n)= 2.50n +54$

And in the second part, n=8 .

Substituting 8 for n, we will get

$C(8)= 2.50(8) +54 = 74$