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.

Respuesta :

Answer:

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.

Step-by-step 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.