Question

30) Joe is sending invitations for a party. The cost of the invitations is $5.00, and postage

$0.45. Write an expression for the cost of mailing the invitations in terms of the number of
mailed. THEN calculate the cost of mailing 3000 invitations.

Answer 1

C (m) = 5 m + 0.45 m is the expression for the cost of mailing the invitations in terms of the number of m mailed letters.

The cost of mailing 3000 invitations is $16,350.

Explanation:

Let us assume the number of invitations mailed = m

Now, the cost of each invitation = $5.00

So, the cost of m invitation = m x ( cost of each invitation) = m ( $ 5)= 5 m

Also, the postage charges of each letter = $0.45

So the postage charges of m letters sent = m x( Cost of each letter) = 0.45 m

Now, Total cost for mailing m Invitations

= Cost of m invitations + Cost of mailing m letters

= 5 m + 0.45 m

⇒ C (m) = 5 m + 0.45 m ..... (1)

This is the expression for the cost of mailing the invitations in terms of the number of mailed letters.

Now, the cost for mailing 3000 invitations:

Put m = 3000 in (1), we get:

C(3000) = 5 (3000) + 0.45(3000) = 15,000 + 1350 = 16,350

or, the cost of mailing 3000 invitations is $16,350.