APPC Unit 1 Test (B)

Let s(x) give the total snowfall, in inches, x hours from the start of the snowstorm. Which expression can be used to find the average rate at which snow fell between 2 and 5 hours after the start of the snowstorm?

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• (-2, 1)

• (2.7, 4)

• (-2, -0.5)

• (-4, 1)

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CCSS.HSF.IF.B.4

• 5

• 3

• -2

• -5

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CCSS.HSF.IF.A.2

Christian McCaffrey, a running back for the San Francisco 49ers, ran for 108 yards on offense during a Sunday game in the regular season. Data for his total rushing yards after various downs played is given in the table. Which of the following best explains whether McCaffrey gained rushing yards at a greater rate between his 5th and 15th downs or between his 10th and 20th downs?

• Between 10 downs and 20 downs because he gained yards at an average of 6 yards per down vs. 4 yards per down between 5 downs and 15 downs.

• Between 5 downs and 15 downs because he gained yards at an average rate of 5.4 yards per down between the 5th and 25th down.

• Between 10 downs and 20 downs because he had more rushing yards after the 20th down than after the 15th down.

• Neither; McCaffrey’s rate of change in total rushing yards was constant.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

The average rate of change of a smooth, continuous function between x=a and x=b is positive. If a < c < b, which of the following must be true?

• The instantaneous rate of change at x = c is positive.

• The slope of the tangent line at x = c is the same as the slope of the secant line between x = a and x = b.

• The instantaneous rate of change at x = c is negative.

• None of these.

The express elevator in the Seaside Vista Hotel can hold a maximum of 8 people with a total allowable weight of less than 1900 pounds. Let W(p) represent the total weight of p occupants of the elevator and their luggage. Which of the following best describes the range of W?

• 2

The graph of a smooth, continuous function g has a point at x = -7 where the rate of change of g changes from increasing to decreasing. Classify the point at x = -7.

• g has an absolute minimum value at x = -7.

• g has an absolute maximum value at x = -7.

• g has an inflection point at x = -7.

• g has a local maximum at x = -7.

The graph of a linear function h is shown. Find h(30) - h(20).

• 9

• 18

• 10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

• The rate at which the height of passengers is increasing is greater at t = 3 than at t = 1.

• Between t = 6 to t = 7, the rate of change of the height of the passengers is increasing.

• The rate at which the height of the passengers increases reaches its maximum value at t = 3.25.

• Between t = 5 and t = 6.75, the height of passengers decreases at a decreasing rate.

Tags

CCSS.HSF.IF.B.4