Flashcard 4 Practice- Growth and Decay functions

Front

What is the formula for exponential decay?

Back

y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Tags

CCSS.HSF-IF.C.8B

Front

What does the 'a' represent in an exponential function?

Back

The 'a' represents the initial value or y-intercept of the function.

Tags

CCSS.HSF.LE.B.5

Front

What is the decay factor for a population decreasing by 5%?

Back

The decay factor is 0.95.

Tags

CCSS.HSF-IF.C.8B

Front

How do you determine if a function represents growth or decay?

Back

If the base of the exponential function is greater than 1, it represents growth; if it is between 0 and 1, it represents decay.

Tags

CCSS.HSF-IF.C.8B

Front

What is the difference between linear decay and exponential decay?

Back

Linear decay decreases by a constant amount over time, while exponential decay decreases by a constant percentage.

Tags

CCSS.HSF-IF.C.8B

Front

If a population of 1500 deer decreases by 1.5% per year, what is the function to model this?

Back

y = 1500(1 - 0.015)^t.

Tags

CCSS.HSF-LE.A.1C

Front

What does the y-intercept indicate in a graph of an exponential function?

Back

The y-intercept indicates the initial value of the function when t = 0.

Tags

CCSS.HSF-IF.C.7E

Front

What is the common ratio in an exponential function?

Back

The common ratio is the factor by which the quantity changes in each time period.

Front

If a population decreases from 2200 to 2090 in one month, what is the approximate decay rate?

Back

The decay rate is approximately 5%.

Tags

CCSS.HSF-LE.A.1C

Front

What does a graph that starts high and decreases over time represent?

Back

It represents exponential decay.

Tags

CCSS.HSF-IF.C.7E