Eureka Lesson 24

Objective

Represent a real-world situation with a table, a graph, and a two-variable equation.

Analyze the relationship between the variables in a real-world situation.

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Lesson 24

What can you tell from the graph?

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Look at the graph

Yesterday we looked at a kid reading 20 pages a day every day so we could generate equivalent ratios-1:20, 2:40, 3:60...but not all information is like that.

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Non-Ratio relationships:

When the numbers aren't proportional.

Open Ended

What information did you get off of the graph?

Multiple Choice

What is on the X axis?

• number of cups of lemonade

• profit

• number of customers

• number of lemons used

Multiple Choice

What is on the Y axis?

• number of cups of lemonade

• profit

• number of customers

• number of lemons used

Open Ended

How many cups of lemonade does Riley need to sell to make a profit of $50? Justify your thinking.

Multiple Choice

Which equation would you use to calculate how many cups of lemonade Riley needs to sell to make $50 in profit?

• 50=x-8

• 50x-8

• 50-8x

• 50=x+8

The variable that does not depend on the other variable--the number of cups of lemonade sold.

Independent Variable

The variable that depends on what the other variable does--the amount of profit.

Dependent Variable

y=x-8

Multiple Choice

Is the relationship between the number of cups of lemonade sold and the profit a ratio relationship?

• No, because they are even numbers

• Yes, because all numbers can be written as rations

• Yes, because you can graph them

• No, because 10:2 and 20:12 are not proportional

Multiple Choice

Which equation can be used to determine the age of Tara's cat given the age of Tara's dog?

• c=d+2

• c=d-2

• c=2d

• d=2c

Draw

Add to the picture--maybe give the cat a face because AI did him dirty!

Multiple Choice

An artist makes picture frames. The width of each frame is 3 inches more than the width

of the picture.

What is the frame width for a picture that is 6 inches wide?

• 6 inches

• 9 inches

• 12 inches

• 3 inches

Multiple Choice

If the width of a picture frame is 3 inches more than the width of the picture, which equation represents the relationship between the frame width (f) and the picture width (p)?

In the context of the problem, what type of variable is 'p'?

• Dependent variable

• Independent variable

• Constant variable

• Unrelated variable

Multiple Choice

What type of variable is 'f' in the given scenario?

• Dependent variable

• Independent variable

• Constant variable

• Unrelated variable

Multiple Choice

What does the point (14, 17) on the graph represent in terms of picture width and frame width?

• The frame width is 14 inches and the picture width is 17 inches.

• The picture width is 17 inches and the frame width is 14 inches.

• The picture width is 14 inches and the frame width is 17 inches.

• Both the picture width and frame width are 14 inches.

Multiple Choice

If the frame width is 18 inches, what is the picture width according to the information provided?

• 15 inches

• 18 inches

• 14 inches

• 17 inches

Multiple Choice

What is the total amount of money Leo spends if he buys 3 bags of popcorn?

• $3

• $6

• $9

• $12

Multiple Choice

Why should the points on the graph not be connected?

• Because the graph shows a decreasing trend.

• Because Leo can only buy whole number bags of popcorn.

• Because the points represent different types of popcorn.

• Because the graph is incorrectly plotted.

Multiple Choice

What does the y-intercept of the graph (0, 9) indicate about Leo's spending?

• Leo spends $9 regardless of the number of popcorn bags he buys.

• Leo spends $0 at the movie theater.

• Leo spends $9 when he buys no popcorn bags.

• Leo spends $9 per bag of popcorn.

Multiple Choice

Which equation represents the total amount of money y in dollars Leo spends if he buys x bags of popcorn?

• y = 9x

• y = x/9

• y = x + 9

• y = x - 9

Multiple Choice

Based on the graph, how old is Sasha when Eddie is 6 years old?

• 3 years

• 4 years

• 5 years

• 6 years

Multiple Choice

How many years older is Eddie than Sasha according to the graph?

• 2 years

• 3 years

• 4 years

• 5 years

Multiple Choice

What equation represents the relationship between Eddie's age and Sasha's age if Eddie is always 3 years older than Sasha? X=Eddie's age and Y= Sasha's age

• y = x + 3

• y = x - 3

• y = 3x

• y = x / 3

Multiple Choice

How old is Eddie when Sasha is 12 years old?

• 12 years

• 15 years

• 9 years

• 18 years

Multiple Choice

Which table correctly represents the relationship between time in minutes and Kayla's distance from home in meters, given the equation d = t + 25?

• Table A

• Table C

• Table D

• Table B

Multiple Choice

Solve the linear equation: $$3x - 7 = 2x + 5$$ .

• $$x = 12$$

• $$x = -12$$

• $$x = 1$$

• $$x = -1$$

Multiple Choice

Solve the equation $$3x - 7 = 11$$ .

• $$x = 6$$

• $$x = 4$$

• $$x = 5$$

• $$x = 2$$

Multiple Choice

Jill worked five hours less than three times the number of hours that Karen worked.  Which of the following equations represents the relationship between j, the number of hours that Jill worked and k, the number of hours that Karen worked?

• j = 3k - 5
• j = 1/3k - 5
• j = 3k + 5
• j = 1/3k + 5

Multiple Choice

Write an equation: The total cost of renting a car is $65 for deposit and $37.50 per day.

• x = 65 + 37.50 y

• y = 65 x + 37.50

• y= 92.50x

• y= 37.50 x + 65

Multiple Choice

Sandra has a $20 itunes gift card and spends $3 each month. Which equation represents the relationship between the amount of money left (y) and the number of months (x)?

• y=3x + 20

• y=3 + 20x

• y= -3x + 20

• y= -20x + 3

Word Cloud

Name that Racoon

Poll

How well do you feel you understand non-ratio relationships?