Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost anadditional $150 for each ton of sugar transported.Let C represent the total cost in dollars), and let S represent the amount of sugar (in tons) transported. Write an equationrelating C to S. Then use this equation to find the total cost to transport 13 tons of sugar.

Answer 1

The cost to rent the trucks is fixed, it doesn't depends on the amount of sugar. While the cost for each ton depends linearly. So the equation is:

`C=150\cdot S+4500`

To calculate the cost to transport 13 tons of sugar, we just substitute S for the value (13):

`C=150\cdot13+4500=1950+4500=6450`

The cost to transport 13 tons of sugar will be $6450.