Writing Exponential Functions (Word Problems)

Writing Exponential Functions (Word Problems)

Assessment

Flashcard

Mathematics

9th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

2.

FLASHCARD QUESTION

Front

What does the base of an exponential function represent?

Back

The base of an exponential function indicates the growth (if greater than 1) or decay (if between 0 and 1) rate of the function.

3.

FLASHCARD QUESTION

Front

How do you determine the growth rate from an exponential function?

Back

The growth rate can be determined by subtracting 1 from the base of the function. For example, in f(x) = a(1 + r)^x, r is the growth rate.

4.

FLASHCARD QUESTION

Front

What is the decay rate in the function f(x) = 800(0.85)^x?

Back

The decay rate is 15%, which is calculated as 1 - 0.85.

5.

FLASHCARD QUESTION

Front

How do you write an exponential function for a situation involving growth?

Back

To write an exponential function for growth, use the formula C(t) = C_0(1 + r)^t, where C_0 is the initial amount, r is the growth rate, and t is time.

6.

FLASHCARD QUESTION

Front

What is the formula to calculate the future value of an investment with exponential growth?

Back

The future value can be calculated using the formula A = P(1 + r)^t, where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, and t is the number of years.

7.

FLASHCARD QUESTION

Front

What is the decay factor in the function f(x) = 15000(0.92)^x?

Back

The decay factor is 0.92, which represents the percentage of the value retained after each time period.

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