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.

Candles of each type were lit at the same time. Abbie thinks that since Candle Type A burns more quickly than Candle Type B, that it will burn out (have a height of 0 cm) first.

Julie thinks that since Candle Type B starts out much shorter than Candle Type A, it will be the candle to burn out first.

Which candle will burn out first? Give a mathematical explanation to convince Abbie and Julie of your solution. Clearly identify the quantities involved.

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.

You have decided to use functions to help Abbie think about the candles.

You show her how to represent the height of a candle, h, as a function of time, t, using this equation:

h = k + nt

First, explain to Abbie what k and n represent in order to model the different candles. Be specific in your explanation.

Using data from Table 1, determine whether Pizza A or Pizza E has a higher percentage of carbs per serving size. Include the percentage of carbs per serving size for both pizzas in your answer.

Interpret the scatter plot by:

• describing the correlation between serving size and protein

• identifying the pizza with the highest percentage of protein

• explaining how you determined which pizza has the highest percentage of protein.

Your friend finds a different pizza that has a serving size of 230 grams with 12 grams of protein and 1152 milligrams of sodium. She thinks that this pizza should be considered for the cafeteria.

Choose her pizza or your pizza from question 3. Justify your choice by comparing the two pizzas using:

• protein percentages

• sodium percentages.

Your classmate claims that there is a negative correlation between sodium and serving size of the pizzas. He refers to Pizza B and Pizza C as an example.

You know that your classmate is incorrect. Explain the fault in his reasoning and describe the correct correlation between sodium and serving size. Use data to justify your reasoning.

Use the data in Table 1 and the information you found in Questions 10 and 11 to decide which pizza you think is the best choice to serve in the cafeteria. Write a recommendation to the cafeteria staff explaining which pizza you chose. The school wants pizza with a high percentage of carbohydrates and protein and a low percentage of sodium.

• Explain why you think your choice is the best option for serving a pizza that is higher in carbohydrates and protein and lower in fat and sodium.

• Support your choice with data from Table 1 or Question 10 or Question 11.