y = mx + b

y = mx + b

rate of change:

Multiple Choice

How do you find m or the rate of change?

• change of x

• change of y

• where you begin

Multiple Choice

Priya, Emma, and Lily are on a treasure hunt and come across a mysterious graph that shows the rate of change as their next clue. Can you help them figure out what the rate of change for this graph is?

$$\frac{change\ of\ y}{change\ of\ x}$$

• 80

• 20

• 40

• 160

Multiple Choice

Sophia and Luna are on a magical adventure and discover a river flowing at a constant rate. Can you help them determine the constant rate of change of the river's flow? $$\frac{change\ of\ y}{change\ of\ x}$$

• -10 ft per second

• 15 ft per second

• 10 ft per second 

• -15 ft per second

Multiple Choice

Noah and Mia are at a burger party! Can you help them find the rate of change of burgers per person? $$\frac{change\ of\ y}{change\ of\ x\ }$$

• 4 burgers per person

• 6 burgers per person

• 2 burgers per person

• 2 people per burger

Multiple Choice

Imagine Kai, Liam, and Noah are having a water balloon fight in the rain. They're curious about how fast the rain is filling their buckets. At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Multiple Choice

Imagine our friend Jackson is on an adventurous hike. After 2 hours, he's reached an altitude of 400 feet. Fast forward to 6 hours into his journey, and he's now at 700 feet. Can you calculate the average rate of change in his altitude? 

• 200

• 150

• 300

• 75

Multiple Choice

Charlotte, Grace, and Olivia are on a treasure hunt. They need to determine the rate of change to find the next clue. Can you help them? $$\frac{change\ ofy}{change\ of\ x}$$

• 1/3

• 2

• 3

• -3

Multiple Choice

Anika, Hannah, and Lily are working on a science project to measure the efficiency of their homemade water pump. They need your help to find the rate of change. Can you assist them?

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Multiple Choice

Imagine David, Aiden, and Scarlett are on a treasure hunt. They find a mysterious box that can only be opened by entering the correct initial value. What is this value?

• 0

• 1

• 8

• 10

Fill in the Blank

Imagine Abigail, Mia, and Grace are on a treasure hunt. They stumble upon an ancient map with a line drawn across it. The map hints, 'To find the treasure, you must know where the line crosses the y-axis!' What is the y-intercept of the line?

Fill in the Blank

Imagine Harper, Zoe, and Anika are on a treasure hunt. They come across a magical graph that reveals the location of the treasure. The graph shows a line, and the key to finding the treasure is identifying the y-intercept of this line. Can you help them find the y-intercept and get one step closer to the treasure?