Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5500 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 12 tons of sugar.

Answer 1

$7,300

Explanation:

Equation : y= mx + b

x = amount of sugar in tons (s)

m = $150/ton

b = $5,500 initial fixed cost

y = total ; cost = c

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C = 150s + $5,500

Replace the s with the 12 to find the total cost

C = 150 (12) + $5,500

C = $7,300

Answer 2

c

Explanation:

$ 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.