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.

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 tran class=

Respuesta :

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.

[tex]\begin{gathered} C=175S+3500 \\ \\ C=175\left(11\right)+3500 \\ \\ C=1925+3500 \\ \\ C=5425 \end{gathered}[/tex]

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