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 heignt 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.

t hours after it is lit.

Now, choose either Candle A or Candle B to create an equation that will tell Abbie the height of the candle at

Determine what the numerical values for k and n should be for the candle you chose.

Using these k and n values, write an equation that tells Abbie the height h of the candle, in cm, at t hours after it is lit.

A.

See explanation below.

Which section(s) of this table define(s) a function?

A. a, b

B. a, c

C. none

D. c

In the attached figure, parallel lines l *and *m are cut by a transversal line n, forming angles labeled 1, 2, 3, 4, and 5 as shown in the attached diagram. If angle 1 measures 125 degrees, what is the sum of angles 3 and 5?

A. 250 degrees

B. 180 degrees

C. 165 degrees

D. 130 degrees