1A Exponential Growth

Front

What is exponential growth?

Back

Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth at an increasing rate over time.

Front

What is the general form of an exponential function?

Back

The general form is y = a(b)^x, where 'a' is the initial value, 'b' is the base (growth factor), and 'x' is the exponent.

Front

What does the base in an exponential function represent?

Back

The base represents the growth factor; it indicates how much the quantity increases for each unit increase in x.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100.

Front

What is the y-intercept in the equation y = 10(5)^x?

Back

The y-intercept is the value of y when x = 0, which is 10.

Front

Solve for x: 2x + 3 = 19.

Back

x = 8.

Front

Evaluate the expression f(x) = 100(0.8)^x for f(3).

Back

f(3) = 51.2.

Front

What is the value of 2^3?

Back

2^3 = 8.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a percentage of the current value.

Front

If a population doubles every year, what type of growth is this?

Back

This is an example of exponential growth.