A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equation models the revenue, R(x), as a linear function of the number of machines built, x ?

Select one:
A. R(x)=750x−10100
B. R(x)=450x+7200
C. R(x)=1200x−4500
D. R(x)=850x+9600

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mathstudent55 mathstudent55 · Answer 1 · 2020-01-30T20:34:17+01:00

Answer:

D. R(x)=850x+9600

Step-by-step explanation:

Use the given information as points on a line, and find the slope.

The two given points are (10, 18,100) and (20, 26,600).

slope = (difference in y)/(difference in x)

slope = (26,600 - 18,100)/(20 - 10)

slope = 8,500/10

slope = 850

Only choice D. has a slope of 850.

Answer: D. R(x)=850x+9600

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