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 $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. Write an equation relating C to S. Then use this equation to find the total cost to transport 17 tons of sugar.

Answer 1

C = $6050

Equation:

To write the equation, we have to remember that C is the total cost, so that means the equation should end in "= C". S is the amount of sugar, so the equation would look something like this:

`3500+150(S)=C`

3500 is at the beginning since that is the cost for the trucks, and each ton of sugar costs $150, and that would get multiplied by S amount of sugar, to get the total cost, C.

Solving the equation

To solve the equation when S = 17, we simply have to plug in S as 17 into our equation we wrote above.

`3500+150(17)=C`

150 * 17 is 2550, and 3500 + 2550 is 6050, which is C.

C = $6050

Answer 2

C = 150S + 3,500.

$6,050.

Explanation:

It costs $3,500 to rent the trucks, so your constant/y-intercept will be $3,500.

It will cost $150 for every ton of sugar, so your slope will be $150.

You then have your equation:

C = 150S + 3,500.

If you were to transport 17 tons of sugar...

C = 150 * 17 + 3,500

C = 2,550 + 3,500

C = $6,050.

Hope this helps!