The Sugar Sweet Company is going to transport its sugar to market. It will cost $3750 to rent trucks, and it will cost an additional $125 for each ton of su

Question

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

$ 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.  

 

This shows that for each increase by one ton of sugar, the cost goes up $125