# How do you write an exponential equation from a word problem?

## How do you write an exponential equation from a word problem?

Starts here3:21Word Problems with Exponential Functions – YouTubeYouTubeStart of suggested clipEnd of suggested clip54 second suggested clipThis first one says write an exponential function to model the situation and tell what each variableMoreThis first one says write an exponential function to model the situation and tell what each variable represents. A price of $125 increases 4% each year.

### How do you know if a problem is exponential?

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay.

**How do you solve exponential problems?**

Starts here16:35Solving Exponential Equations – YouTubeYouTubeStart of suggested clipEnd of suggested clip53 second suggested clipNow if the bases are the same and then the exponents must be equal to each other therefore X plus 2MoreNow if the bases are the same and then the exponents must be equal to each other therefore X plus 2 is equal to 4 X minus 6 now let’s subtract both sides by X and let’s add 6 to both sides.

**How do you solve exponential growth or decay word problems?**

Starts here12:49Exponential Growth and Decay Word Problems & FunctionsYouTubeStart of suggested clipEnd of suggested clip58 second suggested clipBut for this particular problem a is going to represent the initial population B. It’s going to be 1MoreBut for this particular problem a is going to represent the initial population B. It’s going to be 1 plus R raised to the T. Since we’re dealing with time.

## How do you solve word problems involving exponential functions equations and inequalities?

Starts here21:57SOLVING PROBLEMS INVOLVING EXPONENTIAL FUNCTIONYouTube

### How do you find an exponential equation?

The formula for an exponential function is y = abx, where a and b are constants. You can see that this conforms to the basic pattern of a function, where you plug in some value of x and get out some value of y.

**What does an exponential equation look like?**

The general exponential function looks like this: y=bx y = b x , where the base b is any positive constant. The base b could be 1, but remember that 1 to any power is just 1, so it’s a particularly boring exponential function!

**How do you find the exponential equation?**

Find the equation of an exponential function

- If one of the data points has the form (0,a), then a is the initial value.
- If neither of the data points have the form (0,a), substitute both points into two equations with the form f ( x ) = a ( b ) x \displaystyle f\left(x\right)=a{\left(b\right)}^{x} f(x)=a(b)x.

## How do you simplify exponential expressions?

Starts here11:48Simplifying Exponents With Fractions, Variables, Negative – YouTubeYouTube

### How do you solve for exponential growth rate?

Starts here9:28Ex: Find Exponential Growth Rate and Make Prediction of a Future Home …YouTube

**How do you find the exponential decay rate?**

In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.