Exponential Functions thursday

Front

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

Back

Increasing

Front

What does the value 12 represent in the expression 12(1.015)^t modeling the population of elephants in a wildlife refuge after t years since 1975?

Back

The initial amount of elephants in the park.

Front

Is the graph exponential growth or decay?

Back

Exponential decay

Front

Function with initial amount $15 and 35% increase each year: y = 15(35)^x, y = 15(1.35)^x, y = 15(0.35)^x, y = 35(1.15)^x

Back

y = 15(1.35)^x

Front

Equation for bacteria culture starting with 5000 cells, dying by 30% each year.

Back

y=5000(0.7)^x

Front

Value of a car: $15,000, depreciates at 8% per year. What is the exponential equation?

Back

y=15,000(0.92)^x

Front

What is the Domain of this function?

Back

All Real Numbers

Front

What is the y intercept of this function? Options: (0,1), (1,0), (0,2), (2,0)

Back

(0,1)

Front

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.  What is the the growth or decay factor for this problem? y=AB^x

Back

.71

Front

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

Back

13%