Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $4375 to rent trucks, and an additional $175 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.

Answer 1

Linear equation:

• y = mx + b

Given:

• The rental is the y-intercept, b = 4375
• The cost for each ton of sugar is the slope, m = 175
• The total is C, number of tons of sugar represented as S

The equation for this case is:

• C = 175S + 4375

The graph is attached below.