Question

The lucky storage company wants to ship materials from their current warehouse to a new warehouse. It will cost $2200.00 to rent trucks and an additional $150.00 per ton of material shipped to the new location. Let C represent the total cost of transporting the materials to the new location, and let S represent each ton of material shipped.

A) write and equation relating C to S

B) use this equation to determine the cost to ship 37 tons of material to the new warehouse

Answer 1

A) C = 2,200 + 150S

B) $7,750

Explanation:

Explanation A)

The cost to rent the trucks is a one-time fee, therefore it does not need to be assigned a variable. However, the statement "$150.00 per ton of material shipped" does need a variable since it's stated that "S represent each ton of material shipped"

So we will attach the S to the 150

C = 2,200 + 150S

Explanation B)

Now, using the same equation we made from Explanation A. We will replace S with 37.

Why? Since S represents each ton of material, we are given 37 tons. We need to replace the S to actually calculate a value. Think of all the letters as just a placeholder until we actually need it.

C = 2,200 + 150(37)

C = 7,750