Grade 8 | Unit 5: Functions and Volume | Mid-Unit Assessment (A)

Select all the functions whose graphs include the point (16,4).

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8.F.A.1

This graph shows the temperature in Diego’s house between noon and midnight one day. Description:

Coordinate plane, horizontal, time, hours after noon, 0 to 12, vertical, temperature, degrees Fahrenheit, 0 to 75 by 25. Lines from 0 comma 70 to 4 comma 75, to 5 comma 71, to 9 comma 71, to 11 comma 67, to 12 comma 67.

Select all the true statements.

• Time is a function of temperature.

• The lowest temperature occurred between 4:00 and 5:00.

• The temperature was increasing between 9:00 and 10:00.

• The temperature was 74 degrees twice during the 12-hour period.

• There was a four-hour period during which the temperature did not change.

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8.F.B.5

This table shows a linear relationship between the amount of water in a tank and time.

time (minutes)	water (gallons)
0	30
5	20
10	10

Which of these statements is true?

• The water in the tank is increasing at a rate of 2 gallons per minute.

• The water in the tank is increasing at a rate of 10 gallons per minute.

• The water in the tank is decreasing at a rate of 2 gallons per minute.

• The water in the tank is decreasing at a rate of 10 gallons per minute.

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8.F.B.4

Elena goes for a long walk. This graph shows her time and distance traveled throughout the walk. What was her fastest speed, in miles per hour?

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8.F.B.5

Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria doubled each day—from 5 to 10, then from 10 to 20, and so on. Is the population of bacteria a function of the number of days? If so, is it linear? Explain your reasoning.

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8.F.A.1

8.F.A.3

Draw a graph of Andre’s distance as a function of time for this situation: When the football play started, Andre ran forward 20 yards, then turned around and ran 5 yards back. He stood in that spot for 3 seconds, then walked back to where he began. Label the axes appropriately. You do not have to include numbers on the axes or the coordinates of points on your graph.

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8.F.B.5

Two plumbing companies charge money for each hour of work, plus a one-time fee. A Plus Plumbing charges according to this table:

time (hours)	cost (dollars)
1	140
4	320
6	440

Quality Plumbing charges according to this graph: How much does A Plus Plumbing cost for each hour of work, and what is the one-time fee? Explain or show your reasoning. How much does Quality Plumbing charge for each hour of work, and what is the one-time fee? Explain or show your reasoning. Can A Plus Plumbing and Quality Plumbing ever charge the same total for the same amount of time? Explain or show your reasoning.

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8.EE.C

8.F.A.2

8.F.B.4