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 $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. Then use this equation to find the total cost to transport 11 tons of sugar.

Answer 1

Given:

Cost to rent the truck = $3500

Additional cost for each ton of sugar = $175

Let's write an equation relating C to S where C is the total cost and S is the amount of sugar.

Apply the slope intercept form:

y = mx + b

Therefore, the equation will be:

C = 175S + 3500

Let's find the total cost to transport 11 tons of sugar.

To find the total cost to transport 11 tons of sugar, substitute 11 for S and solve for C.

`\begin{gathered} C=175S+3500 \\ \\ C=175\left(11\right)+3500 \\ \\ C=1925+3500 \\ \\ C=5425 \end{gathered}`

Therefore, the total cost to transport 11 tons of sugar is $5425

ANSWER:

Equation: C = 175S + 3500

Cost to transport 11 tons of sugar = $5425