A carpenter charges $30 per hour for up to eight hours each day and increases this rate by 50% for additional hours. The carpenter will not work more than ten hours per day. If this daily cost function is modeled by y = f (x) and graphed, which statement is not correct?

A) f (0) = 0, f (8) = 240, and f (10) = 330.

B) The domain is [0, 10] and the range is [0, 330].

C) The graph is increasing on the interval (8, 10) with a slope of 45.

D) If a $20 trip charge is added, the new x-intercept will be (20, 0).

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Mathematics

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A carpenter charges $30 per hour for up to eight hours each day and increases this rate by 50% for additional hours. The carpenter will not work more than ten hours per day. If this daily cost function is modeled by y = f (x) and graphed, which statement is not correct?

A) f (0) = 0, f (8) = 240, and f (10) = 330.

B) The domain is [0, 10] and the range is [0, 330].

C) The graph is increasing on the interval (8, 10) with a slope of 45.

D) If a $20 trip charge is added, the new x-intercept will be (20, 0).

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Heather Dawson · Answer 1

D. If 20$ a trip charge is added, the new x-intercept will be (20,0)

This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.