EOC Fast Facts 3

Front

What is an exponential growth equation?

Back

An exponential growth equation is of the form y = a(1 + r)^x, where 'a' is the initial value, 'r' is the growth rate, and 'x' is the time period.

Front

What does the initial value represent in an exponential function?

Back

The initial value represents the starting amount before any growth or decay occurs.

Front

How can you identify exponential growth from an equation?

Back

Exponential growth can be identified if the base of the exponent is greater than 1 (e.g., y = a(1.13)^x).

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time (base > 1), while exponential decay decreases over time (base < 1).

Front

What is the correlation coefficient?

Back

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of r = 0.89 indicate?

Back

A correlation coefficient of r = 0.89 indicates a strong positive linear relationship between the two variables.

Front

How do you classify the model A=10(1.01)^3?

Back

This model is classified as Exponential Growth because the base (1.01) is greater than 1.

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is y = a(1 - r)^x, where 'a' is the initial amount and 'r' is the decay rate.

Front

If a substance decays at a rate of 20% per hour, what is the decay factor?

Back

The decay factor is 0.8, calculated as (1 - 0.20).

Front

What is the appropriate model for a flea medicine that breaks down at a rate of 20% per hour with an initial dose of 60 mg?

Back

The appropriate model is y = 60(0.8)^x.