Smarter Balanced Assessment Consortium: SBAC

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Case study

Lights, Candles, Action!

Your friend Abbie is making a movie. She is filming a fancy dinner scene and she has two types of candles on the table. She wants to determine how long the candles will last.

She takes a picture, lights the candles, and then lets them burn for 1 hour. She then takes a second picture. You can assume that each candle burns at its won constant rate.

Candle Type A initial height = 20 cm

Candle Type B initial height = 10 cm Candle Type A height after burning for 1 hour = 16 cm Candle Type B height after burning for 1 hour = 9 cm

You will use this information to help Abbie think about the candles she might use for her film.

Abbie has 3 hours left to film. She lights a new Candle Type A and Candle Type B and then starts filming.

In the 3 hours she has left, will Abbie capture the moment when the candles are exactly the same height?

Explain to Abbie how you can determine the answer.

A.

See explanation below.

A. 2

B. 8

C. 6

D. 5

Rachel is going to buy a coffee-maker for her apartment. After some research she found 5 different coffee-makers for these prices:

$62.99 $77.99 $43.99 $17.99 $66.99

Her aunt advised her that spending about the median amount will be a good deal, while spending about the mean amount will just be average. After looking at the prices, she decided that average will be good enough.

Read the attached description of a purchase decision process. How much did Rachel save by spending closer to the mean than spending closer to the median?

A. $10.80

B. $8.20

C. $0 because it was the same unit

D. $19