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

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8.F.A.1

This table shows a linear relationship between the age of a newborn baby in weeks and their weight.

Age (weeks)	Weight (pounds)
1	6
3	8
10	15
12	17

Select all the true statements.

• The weight of the baby increases at a constant rate of 2 lbs every week.

• The weight of the baby increases at a constant rate of 1 lb every week.

• The weight of the baby increases at a constant rate of ½ lb every week.

• Age is a function of weight.

• Weight is a function of age.

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8.F.B.4

The graph shows the amount of water in a bathtub starting at 10:00. Select all true statements.

• The tub was filling faster at 10:14 than at 10:01.

• At 10:06, the tub was neither filling nor draining.

• The maximum amount of water in the tub was about 35 gallons.

• The amount of water in the tub stayed the same from 10:16 to 10:20.

• It took 4 minutes for the tub to drain.

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8.F.B.5

Mai hiked up a trail for 40 minutes. The graph shows the elevation in feet that she reached throughout her hike. Name the time period where Mai gained elevation at the fastest rate.

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8.F.B.5

A tree planted today has a height of 5 feet and grows one foot each month. Is the height of the tree a function of the number of months? If so, is it a linear or a nonlinear function? Explain your reasoning.

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8.F.A.1

8.F.A.3

Draw a graph of Lin’s distance as a function of time for this situation: Lin walked a half-mile to school at a constant rate. Five minutes after arriving at school, Lin realized that she had left her permission slip at home. Lin began sprinting home, but when she was halfway there she got tired and walked the rest of the way. 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 cleaning services charge money for each hour of work, plus a one-time fee. Sparkle Team Cleaners charges according to this table:

Time (hours)	Cost (dollars)
1	28
2	36
4	52
5	60
8	84

So Fresh & So Clean charges according to this graph: Graph Image. A customer would like a company to visit their home and give a quote for their services, without doing further work. Which company is the most cost effective for this customer?

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8.EE.C

8.F.A.2

8.F.B.4

Two cleaning services charge money for each hour of work, plus a one-time fee. Sparkle Team Cleaners charges according to this table:

Time (hours)	Cost (dollars)
1	28
2	36
4	52
5	60
8	84

So Fresh & So Clean charges according to this graph: Graph Image. Another customer would like the company to perform seven hours of work. Which company should this customer choose?

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8.EE.C

8.F.A.2

8.F.B.4

Two cleaning services charge money for each hour of work, plus a one-time fee. Sparkle Team Cleaners charges according to this table:

Time (hours)	Cost (dollars)
1	28
2	36
4	52
5	60
8	84

So Fresh & So Clean charges according to this graph: Graph Image. What is the smallest number of hours of work for which Sparkle Team Cleaners is cheapest?

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8.EE.C

8.F.A.2

8.F.B.4