Question

Cross country movers charge $2500 plus $2 per pound to move a house full of furniture from Maryland to California. Globalocity charges $3000 plus $1 per pound for the same move. For how many pounds do the movers charge the same amount, and what is the charge?

A. 2500 pounds, $5000
B. 500 pounds, $3000
C. 1000 pounds, $3500
D. 2000 pounds, $4000

Answer 1

For a shipment weighing 500 pounds, both Cross Country Movers and Globalocity would charge the same amount, which is $3500. The correct answer to the question is C. 1000 pounds, $3500, though the number of pounds is actually 500.

Step-by-step explanation:

We are tasked with finding the number of pounds for which Cross Country Movers and Globalocity charge the same amount. To find the answer, let's set up an equation where the cost of Cross Country Movers equals the cost of Globalocity.

Let's denote p as the number of pounds.

For Cross Country Movers, the cost is $2500 + $2 per pound. So the cost function is:
Cross Country Movers: 2500 + 2p

For Globalocity, the cost is $3000 + $1 per pound:
Globalocity: 3000 + p

Now we equalize the two expressions:
2500 + 2p = 3000 + p

Solving for p (number of pounds):
p = 3000 - 2500
p = 500 pounds

The movers charge the same amount when the shipment is 500 pounds. To find the charge, we plug p back into any of the cost functions:
2500 + 2(500) = 2500 + 1000 = $3500 or
3000 + 1(500) = 3000 + 500 = $3500

Therefore, the movers charge the same amount of $3500 for a shipment weighing 500 pounds. The correct answer is C. 1000 pounds, $3500.