A car travels 30 miles in one hour. What was the car's average speed?
30mph
Zero
2x = 24
12
What is the average rate of change given point A(2, 4) to Point B(3, 5)?
1
In Fortnite Chapter 5, your character’s health and shield drop at a constant rate per second while standing in "The Storm," making damage over time a classic example of this type of algebraic function.
What is a linear function?
3 bags of rice cost $6.75 and 5 bags of rice cost $11.25. How much does one bag of rice cost?
$2.25 per bag of rice
If the formula is y=2/3x + 7. What is the rate of change?
2/3
3x + 5 = 14
3
What is the average rate of change given point A(1, 0) to Point B(10, 18)?
2
Released in 2023, the hit song "3D" by BTS member Jungkook features this American rapper whose stage name is an algebraic variable with a "2" attached to it.
Who is Jack Harlow? (Or: What is 21 Savage? - both fit variable/number naming, but Jack Harlow is $x$ / 21 Savage)
A swimming pool has 200 gallons of water and then 8 minutes later it has 360 gallons of water. At what rate is the pool being filled with water?
20 gallons of water per minute
What is the rate of change for y=-2x + 7?
-2
12x - 7 = 5
1
What is the average rate of change given point A(-4, -6) to Point B(0, 10)?
4
In Spider-Man: No Way Home, Peter Parker uses geometry and mirror dimension algebra to trap this geometrical-sounding Doctor in a web array.
Who is Doctor Strange?
Janice has typed 32 words. 2 minutes later she has typed 68 total words. How many words per minute is Janice typing?
18 words per minute
Within a linear function, will the rate of change remain constant?
Yes
3x + 5 = 7
2/3
What is the average rate of change of Point A (-5, -6) to Point B (-1, -2)?
Rise
If a TikTok goes viral and its view count triples every hour ($3^x$), it is demonstrating this type of rapid algebraic growth rate.
What is exponential growth?
An employee earns $28.50 after 3 hours and $237.50 after 25 hours. How much is the employee making per hour?
$9.50 per hour
If I am traveling to school and my first 5 minutes I travel at 5 miles, but my next 10 minutes I travel at 10 miles. What is my rate of change?
It is the same, 1 mile per minute.
2/3x = 9
13.5
What is the average rate of change of Point A (-2, -16) to Point B (-4, -7)?
-9/2
This social media platform's recommendation engine relies on complex linear algebra and matrix algorithms to tailor its "For You Page" feed to millions of users daily.
What is TikTok?