Determine Function Type from Context
Linear Functions
Quadratic Functions
Exponential Functions
Real World Applications
100

X = 5, Y = 8

X = 8, Y = 11

X = 2, Y = 5

Identify the type of function.

Linear Function

100

If Mario had infinite strength to launch Bowser into space, and Bowser just got yeeted into the air, how far did Bowser go after 15 minutes? For each 15 meters upwards Bowser was launched, a minute passed.

After 15 minutes, Bowser was 225 meters away from the ground.

100

Identify the pattern in the table

X----Y
-2    15
-1    5
0     -1
1    -3
2    -1
3     5
4     15

At -2, Y changes by -10. Afterwards, Y changes by -6, -2, then to 2. Each Y-value is a +4 change.

100

Yakel has 14 yaks. Each of the yaks have been cursed by a wizard and can grow to infinite weight. Now, each year, Yakel's favorite yak, Boyak Horseman, has his weight increase by 15% of what it was last year. Currently, he has a weight of 150 pounds. What will his mass be in 30 years?

After 30 years, Boyak Horseman will have a weight of 9931.766 pounds.

100

The local mafia boss, Barrie, gained $500 in one day and puts $150 into a bank with an interest rate of 2%. However, an accident befalls Barrie and his bank account remains untouched for about 6,700 years. One day, his brother visits the bank and opens the account. How much money was in Barrie's account rounded to the nearest 

Barrie's account had

uh

$7.531200116*1040 (~8*10^40)

200

X = 0, Y = 72

X = -2, Y = 72

X = 14, Y = 4.577637*1011

Identify the function

Exponential Function


200

(2/5)x + 4

When does the first equation intercept the next equation 

(4/10)x + 2

It doesn't.
200

The formula for a quadratic function.

What is ax2+bx+c

200

Each minute a ghost hunter spends in a house, the ghost gets angrier by 20%. When the ghost has an anger level of 100, the ghost starts to hunt. If the ghost started at an anger level of 5, how many more minutes can the ghost hunter safely stay inside the house.

The ghost hunter can only spend 16 minutes in the house before the ghost starts hunting.

200

Jimbo practices using arrow arcs to eliminate his opponents. Currently, Caesar calculates his  arrows to having been launched at -3.5x2+15x+3. When does the arrow reach its peak rounded to the nearest second?

The arrow reaches its peak after ~2 (2.134) seconds.

300

When the variable is an exponent.

When is the equation exponential?
300

The price of a pound of gold increases by $5 every 7 days. It's current price is $450 per pound.

The price of autumn leaves increases by $0.05 each hour. It's current price is $4. 

Will autumn leaves soon be worth more than gold?

Economists say no, why the heck would they.

But our smart math says that yes, if you can survive for 21,988 hours, eventually autumn leaves will be worth more than gold.

300

Polpo throws an arrow. When the arrow travelled 3 feet forward from him, the arrow was 3 feet in the air. After the arrow was 6 feet away from Polpo, the arrow had landed. Where was the arrow when it was 5 feet ahead of Polpo?

1 + 2/3 feet in the air

300

After a plant has been alive for 5 years, its healthiness begins to decline. Starting from 563, a sunflower's healthiness decreases by 7.85% each year afterwards. How many years until the plant has less than 50 healthiness.

After ~30 years, the sunflower is at less than a tenth of its healthiness.

300

Giorno Giovanna has a dream. He dreams to throw an object into the air and has calculated that he would be 15 meters off the ground. He also calculates that the object would be thrown at -0.5x2+2x. When does the object hit the ground rounded to the nearest second.

Giorno's object hits the ground after ~8 (7.831) seconds.
400

What is the term referred to as how many units upwards and rightwards a Linear function?

Rise over Run

400

Dio Brando has $15 saved when he begins to add $500 each day to his bank account which refused to pay interest. If he continued over the course of 114 years, how much would be in his bank account.

DIO has $20,805,000 and is probably too rich.

500

X = 1, Y = 2.75

X = 2, Y = 7

X = 3, Y = 12.75

Identify the function

Quadratic Function

500

George Joestar stores $50,000 in his bank in 1885. Jotaro Kujo opens the bank account in 1999. If the bank initially had a rate of 5% compounded yearly for 50 years, but then had a rate of 3% for the rest of the years, how much money can Jotaro Kujo steal from George Joestar's bank account?

Jotaro Kujo can steal $3,802,045.76 from George Joestar's bank account.

M
e
n
u