# Lesson 1EWinner, WinnerDevelop Understanding

Describe the transformation of each function from . Then write the equation of the function.

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Equation:

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## Set

Sofia is celebrating her Quinceañera. Isabella knows the perfect gift to buy Sofia, but it costs . Isabella can’t afford to pay for this on her own, so she is going to ask some friends to join in and share the cost.

### 7.

Write the function that models this situation. Define the meaning of each part of the function as it relates to the context of the story.

### 8.

Each statement gives information about the number of people donating or the amount of each equal donation. If the donation is given, find how many friends donated. If the number of friends is given, find the amount of the donation.

#### a.

Each friend donates .

#### b.

friends donate an equal amount.

#### c.

Each friend donates .

#### d.

The number of friends is the same as the number of dollars each donates.

#### e.

Enough people donate that each person only gives .

#### f.

Each friend donates .

#### g.

Only people donate money for the gift.

### 9.

Use the data from the statements to make a table showing the number of people and the amount each person donates.

Number of Friends Who Donate

Amount of Each Donation in Dollars

### 10.

Use the data in the table from problem 9 to make a graph of this situation.

## Go

### 11.

Match the function rule with the correct graph. Then write the equation of the horizontal asymptote. (Note: All exponential functions have a horizontal asymptote.)

1. ___

2. ___

3. ___

4. ___

5. ___

6. ___

#### b.

Write the equation of the horizontal asymptote for each of the equations.

Equation

Horizontal Asymptote

### 12.

Use to explain which values affect the position of the horizontal asymptote in an exponential function. Be precise.

### 13.

Why does an exponential function have a horizontal asymptote?