SOLUTION: I hope this is the last one for the night! The Nestle Sugar co. is going to transport its sugar to market. It will cost $4200 to rent trucks and an additional $150 for each ton o

Question 173874: I hope this is the last one for the night! The Nestle Sugar co. is going to transport its sugar to market. It will cost $4200 to rent trucks and an additional $150 for each ton of sugar transported. Lets say C represents 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 the equation. Ok, can somebody help me with this word problem? I will be most grateful. Thanks in advance, Judy
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
I hope this is the last one for the night! The Nestle Sugar co. is going to transport its sugar to market. It will cost $4200 to rent trucks and an additional $150 for each ton of sugar transported. Lets say C represents 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 the equation. Ok, can somebody help me with this word problem? I will be most grateful. Thanks in advance, Judy
.
The formula:
C = 150S + 4200
where
C is the cost
S is the amount of sugar (in tons)
.
'C' cost is the y-axis
'S' tons (of sugar) is the x-axis
.
To plot:
m (slope) is 150
b (y-intercept) is at (0,4200)
.
S-intercept is found by setting C to zero and solving for S:
C = 150S + 4200
0 = 150S + 4200
-4200 = 150S
-28 = S
.
Draw a dot at (0, 4200) -- this is the C-intercept
Draw a dot at (-28, 0) -- this is the S-intercept
.
To complete, simply draw a LINE crossing the two points.
.

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