Isotope Decay and Price Changes

The video tutorial covers the use of exponential functions in real-world contexts, starting with a warm-up on price changes. It then explores modeling with exponential functions, using examples like radioactive decay and salary growth. The tutorial emphasizes understanding exponential expressions and their applications in various scenarios.

What is the expression for the new price of an iPhone if its price increases by 8%?

• 1.08 * I

• 0.92 * I

• 1.18 * I

• 0.08 * I

If the price of a droid decreases by 15%, what expression represents the new price?

• 0.15 * d

• 0.85 * d

• 1.85 * d

• 1.15 * d

What is the initial amount of the radioactive isotope in the decay example?

• 2000 grams

• 1500 grams

• 500 grams

• 1000 grams

How many grams of the isotope remain after one day?

• 1000 grams

• 750 grams

• 500 grams

• 250 grams

What is the half-life of the isotope in the example?

• One day

• One month

• One hour

• One week

How many days will it take for the isotope to have less than 10 grams remaining?

• 5 days

• 8 days

• 6 days

• 7 days

Is the decay process of the isotope discrete or continuous?

• Neither

• Both

• Continuous

• Discrete

What does the 1000 represent in the equation A(t) = 1000 * (1/2)^t?

• The decay rate

• The initial amount

• The time in days

• The remaining amount

In the salary increase scenario, what does the 1.08 in the equation represent?

• A 20% increase

• A 10% increase

• An 8% increase

• A 5% increase

How many years will it take for the salary to exceed $100,000?

• 7 years

• 6 years

• 5 years

• 4 years