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
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
<u>Explanation B)</u>
Now, using the same equation we made from <u>Explanation A</u>. 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. <em>Think of all the letters as just a placeholder until we actually need it.</em>
Ratio of height of the flag pole to the length of its shadow = 40:9.6 = 25:6 Ratio of height of the building to the length of its shadow = x:48 = 25:6 x/48 = 25/6 x = (48 x 25)/6 = 1200/6 = 200
Therefore, the height of the building is 200 feet.
