Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5200 to rent trucks, and it will cost an additional $200 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

Explanation:

$ 3750 = truck rental; $125 per ton of sugar transported C is cost; S is number of tons transported Equation relating C to S would be a linear equation like y = mx + b C = 125S + $3750 This equation would be graphed in the first quadrant only you would start with your y-intercept at (0, 3750) As x increases by 1, your y increases by 125 yielding these points: (1, 3875) (2, 4000) (3, 4125) etc.

Answer 2

The equation relating the total cost (C) to the amount of sugar transported (S) is C = 5200 + 200S.

The Sugar Sweet Company's transportation costs can be described by a linear equation, where the total cost (C) is a function of the amount of sugar transported (S in tons).

The equation can be written as C = 5200 + 200S, where $5200 is the flat rental cost for trucks, and $200 is the additional cost per ton of sugar transported. The graph would be a straight line with a y-intercept at $5200 and a slope of $200.

To graph this equation, we can plot points on a graph with the x-axis representing the amount of sugar transported (S) and the y-axis representing the total cost (C).

The graph is given below: