CAASPP Grade 11 Math - Performance Task

Last updated 3 months ago

6 questions

Required

Now, choose either Candle A or Candle B to create an equation that will tell Abbie the height of the candle at t hours after it is lit.

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.

Required

CAASPP Grade 11 Math - Performance Task

Last updated 3 months ago

6 questions

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 the its own 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.

Required

Now, choose either Candle A or Candle B to create an equation that will tell Abbie the height of the candle at t hours after it is lit.

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.

Required

For her next film, Abbie wants candles that will burn for exactly 8 hours. You want to give her a choice by designing two different candles (Type C and Type D). 

Using the equation h = k + nt, determine two different pairs of values for k and n that will meet the requirement to burn down to a height of 0 cm in exactly 8 hours. 

Fill in the blanks to complete the table to show two possible sets of values for k and n for your new candle designs.

Candle Type C (k) _______ 
Candle Type C (n) _______ 

Candle Type D (k) _______ 
Candle Type D (n) _______

CAASPP Grade 11 Math - Performance Task

CAASPP Grade 11 Math - Performance Task

Lights, Candles, Action!

Lights, Candles, Action!

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.

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.

CAASPP Grade 11 Math - Performance Task

CAASPP Grade 11 Math - Performance Task

Lights, Candles, Action!

Lights, Candles, Action!

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.

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.

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.

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.