Question

the sugar sweet company is going to transport its sugar to market. it will cost $6750 to rent trucks, and it will cost an additional $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. (a) write an equation relating c to s. equation: (b) graph your equation using the axes below.

Explanation:

Step1: Identify Fixed and Variable Costs

The fixed cost (truck rental) is $6750, and the variable cost per ton of sugar is $140. So total cost \( C \) is fixed cost plus variable cost (variable cost = 140 * \( S \), where \( S \) is tons of sugar).

Step2: Formulate the Equation

Using the cost - function formula \( C=\text{Fixed Cost}+\text{Variable Cost per unit}\times\text{Number of units} \), we substitute the values. Fixed cost is 6750, variable cost per unit (per ton) is 140, and number of units is \( S \) (tons of sugar). So the equation is \( C = 140S+6750 \).

Answer:

\( C = 140S + 6750 \)