How do you write an equation for exponential growth?

To write an equation for exponential growth, use the form $$y = a(1 + r)^t$$ , where $$a$$ is the initial amount, $$r$$ is the growth rate, and $$t$$ is time.

How do you write an equation for exponential decay?

To write an equation for exponential decay, use the form $$y = a(1 - r)^t$$ , where $$a$$ is the initial amount, $$r$$ is the decay rate, and $$t$$ is time.

What is the formula for calculating the value of a depreciating asset?

The value of a depreciating asset can be calculated using the formula $$V = P(1 - r)^t$$ , where $$V$$ is the value after time $$t$$ , $$P$$ is the initial value, and $$r$$ is the depreciation rate.

What is the formula for calculating the future value of an investment?

The future value of an investment can be calculated using the formula $$FV = PV(1 + r)^n$$ , where $$FV$$ is the future value, $$PV$$ is the present value, $$r$$ is the interest rate, and $$n$$ is the number of periods.

How do you find the equation of a line given two points?

To find the equation of a line given two points (x1, y1) and (x2, y2), first calculate the slope $$m = (y2 - y1) / (x2 - x1)$$ , then use the point-slope form $$y - y1 = m(x - x1)$$ .

What is the significance of the point (0, b) in a linear function?

The point (0, b) is the y-intercept of the linear function, indicating where the line crosses the y-axis.

What does it mean for a function to be increasing or decreasing?

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

How can you identify exponential growth or decay from a table of values?

Exponential growth shows increasing values that rise rapidly, while exponential decay shows decreasing values that fall rapidly. Look for a consistent percentage change between values.

Math 1 Unit 2 (Linear and Exponential) Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear function?

Back

2.

FLASHCARD QUESTION

Front

What does the slope of a linear function represent?

Back

3.

FLASHCARD QUESTION

Front

What is the y-intercept of a linear function?

Back

4.

FLASHCARD QUESTION

Front

How do you determine if a function is linear?

Back

5.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

6.

FLASHCARD QUESTION

Front

What does the base of an exponential function indicate?

Back

7.

FLASHCARD QUESTION

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage over equal intervals.

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