Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additional $125 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 equation relating C to S , and then graph your equation using the axes below.

Answer 1

The relationship between the total cost and the amount of sugar is an illustration of a linear equation.

• The equation that relates C to S is: $\mathbf{S = 3500 + 125C}$.
• See attachment for the graph of $\mathbf{S = 3500 + 125C}$

The given parameters are:

$\mathbf{Base = 3500}$ --- the cost of renting the truck

$\mathbf{Rate = 125}$ -- the cost of each ton transported

So, the equation is:

$\mathbf{S = Base + Rate \times C}$

Substitute known values

$\mathbf{S = 3500 + 125 \times C}$

$\mathbf{S = 3500 + 125C}$

Hence, the equation that relates C to S is: $\mathbf{S = 3500 + 125C}$

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