Answers:
- The equation is C = 1500S + 4500
- The graph is a straight line that goes through (0,4500) and (1,6000)
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Step-by-step explanation:
S = number of tons of sugar
150S = cost of transporting all S tons of sugar
150S+4500 = total cost since we add on the $4500 fixed cost
C = 150S+4500 is the cost equation
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If we replace C and S with y and x (in that order), then the equation turns into y = 1500x+4500
To graph this, you only need two points since this is a linear equation in the form y = mx+b. We have m = 1500 as the slope and b = 4500 as the y intercept.
To find a point, you plug in some number for x to get a corresponding y value. For instance, if x = 0
y = 1500x+4500
y = 1500(0)+4500
y = 4500
Showing (0,4500) is the y intercept and one point on the line
Now plug in x = 1
y = 1500x+4500
y = 1500(1)+4500
y = 6000
Showing (1,6000) is another point on the line
You can keep going to generate more points, but two is enough.
The graph will be a straight line through (0,4500) and (1,6000)