7th Math SBAC Task Day 6

Last updated over 2 years ago

11 questions

The TASK Part 1

Scientists are studying the different animals on the planet Rhomaar. The scientists have collected data for the first twelve years of each animal’s life and they have found out that, unlike humans on Earth, every animal on Rhomaar grows the same amount of centimeters every year. And since Rhomaar is a magical place, all of the animals are born with zero height.


The scientists have only been able to study the animals listed below:

Animals
· Flickerbill: It is 24 centimeters tall when it is 4 years old.
· Diggysee: It is 39 centimeters tall when it is 12 years old.
· Tonypen: It is 30 centimeters tall when it is 5 years old.
· Chucky: It is 45 centimeters tall when it is 10 years old.
· Lightchee: It is 27 centimeters tall when it is 6 years old.
· Stargazer: It is 26 centimeters tall when it is 8 years old.

PART 1
You have been assigned to study the Stargazer. 

a) What is the unit rate for the Stargazer's height?

b) What is the Stargazer's height at 2 years?

c) What is the Stargazer's height at 5 years?

d) Write an equation to represent the relationship between the Stargazer’s age in years (a) and its height in centimeters (h).

e) The animals on Rhomaar live until they reach a height of 90 cm. How many years will the Stargazer be alive? Show your work and explain to support your answer.

The TASK Part 2

PART 2
You have been assigned to study the Stargazer.

· Stargazer: It is 26 centimeters tall when it is 8 years old.

f) Fill in the blanks for the Stargazer's height at each year of its life. (Enter decimals only)

At 1 year old, the Stargazer is _______  centimeters tall. 
At 2 years old, the Stargazer is _______  centimeters tall. 
At 3 years old, the Stargazer is _______  centimeters tall. 
At 4 years old, the Stargazer is _______  centimeters tall. 
At 5 years old, the Stargazer is _______  centimeters tall. 
At 6 years old, the Stargazer is _______  centimeters tall. 
At 7 years old, the Stargazer is _______  centimeters tall. 
At 8 years old, the Stargazer is _______  centimeters tall. 
At 9 years old, the Stargazer is _______  centimeters tall. 
At 10 years old, the Stargazer is _______  centimeters tall. 

g) Use the information from your table in question f) to plot the age and height of the Stargazer on the graph. Plot at least 3 points.
If it is easier for you to graph on paper, you may.

h) The scientists suspect that some animals on the planet Rhomaar grow at the exact same rate.
Match the animals together that grow at the same rate.
Explain or show calculations to support your claims.

Draggable item		Corresponding Item
Tonypen		Same rate as Flickerbill
Stargazer		Same rate as Diggysee
Lightchee		Same rate as Chucky

General Review Problems

Discount--A mattress from Mancini’s Sleepworld is being sold for \frac{2}{5} off its regular price. If the regular price is $2,298.50, what is the sales price? Show all work!

Remodeling--Tyler is putting down square floor tiles in his house. The floor layout for the area he is tiling is shown in the diagram. All units are in feet, and each square tile is 1 foot wide.
Select whether each statement is true or false. (Diagram in your packet)

The room will require 60 ft^2 of tile.
Tyler will need more tile for the room than for the other two areas combined.
The storage area will require 6 ft^2 of tile.
Tyler will need more than 165 tiles to complete this project.

TRUE STATEMENTS
FALSE STATEMENTS

Agua--Marcia is comparing the prices of bottled water for 16-ounce bottles. The table shows the price for each brand. Complete the table to sort the brands from least to greatest price per bottle. 
You can round each unit price to the nearest thousandth. 

**You should use a calculator for this problem.**

7th Math SBAC Task Day 6

a) What is the unit rate for the Stargazer's height?

b) What is the Stargazer's height at 2 years?

c) What is the Stargazer's height at 5 years?

d) Write an equation to represent the relationship between the Stargazer’s age in years (a) and its height in centimeters (h).

e) The animals on Rhomaar live until they reach a height of 90 cm. How many years will the Stargazer be alive? Show your work and explain to support your answer.

g) Use the information from your table in question f) to plot the age and height of the Stargazer on the graph. Plot at least 3 points. **If it is easier for you to graph on paper, you may. **

h) The scientists suspect that some animals on the planet Rhomaar grow at the exact same rate. Match the animals together that grow at the same rate. Explain or show calculations to support your claims.

Discount--A mattress from Mancini’s Sleepworld is being sold for \frac{2}{5} off its regular price. If the regular price is $2,298.50, what is the sales price? Show all work!

Remodeling--Tyler is putting down square floor tiles in his house. The floor layout for the area he is tiling is shown in the diagram. All units are in feet, and each square tile is 1 foot wide.Select whether each statement is true or false. (Diagram in your packet)

g) Use the information from your table in question f) to plot the age and height of the Stargazer on the graph. Plot at least 3 points.
If it is easier for you to graph on paper, you may.

h) The scientists suspect that some animals on the planet Rhomaar grow at the exact same rate.
Match the animals together that grow at the same rate.
Explain or show calculations to support your claims.

Remodeling--Tyler is putting down square floor tiles in his house. The floor layout for the area he is tiling is shown in the diagram. All units are in feet, and each square tile is 1 foot wide.
Select whether each statement is true or false. (Diagram in your packet)