Functions and Real-World Applications

The video tutorial covers various mathematical concepts through practical examples. It starts with calculating the sale price of a bicycle after a discount, followed by understanding the depreciation of a computer's value over time. The tutorial then explores how folding paper affects its area and models the decrease in an ant colony's population. It also includes calculating the total number of novels Lynn has, understanding odometer readings during travel, solving a system of equations for peanut butter jar donations, and using function notation to evaluate expressions.

What is the sale price of a bicycle originally priced at $300 with a 1/4 discount?

• $225

• $250

• $300

• $275

If a computer costs $800 and loses 1/4 of its value each year, what is its value after one year?

• $500

• $650

• $700

• $600

How many folds are needed before a piece of paper folded into thirds has an area less than one square inch?

• 3 folds

• 6 folds

• 4 folds

• 5 folds

What fraction of its population does an ant colony retain if it decreases by 1/5 each month?

• 2/5

• 4/5

• 1/5

• 3/5

Lynn starts with 13 mystery novels and gets 2 more each month. How many novels does she have after 3 months?

• 15

• 17

• 21

• 19

If a car's odometer reads 15,000 miles before a trip and the car travels at 65 miles per hour, what will the odometer read after 2 hours?

• 15,065 miles

• 15,130 miles

• 15,195 miles

• 15,260 miles

How many large jars of peanut butter were donated if the total was 82 jars and 1,876 ounces?

• 35

• 50

• 47

• 40

What is the function notation for a function that multiplies the input by 3/4 and adds seven?

• F(x) = 7 + 3/4x

• F(x) = 3/4x + 7

• F(x) = 3/4 + 7x

• F(x) = 3x/4 + 7

What is F(0) for the function F(x) = 2x - 5?

• -5

• 10

• 5

• 0

What is F(1/2) for the function F(x) = 2x - 5?

• -3

• -4

• -2

• -1