# Lesson 6Getting Down to BusinessSolidify Understanding

Write the explicit equations for the tables and graphs.

## Set

### 10.

The balance in an interest-bearing account is modeled with a continuous function over time. Which of the domain choices is a possibility?

#### A.

Real numbers greater than

Whole numbers

Integers

Natural numbers

### 11.

Select the only equation that can be used to model a continuous exponential function.

### 12.

Select the only equation type that can be used to model a continuous linear function.

### 13.

The domains of arithmetic and geometric sequences are always subsets of which set of numbers?

Real numbers

Rational numbers

Integers

### 14.

Select the attributes that characterize both arithmetic and geometric sequences. Select all that apply.

Continuous

Discrete

Domain:

Domain:

Negative -values

#### F.

Something constant or consistent

Recursive rule

### 15.

Explain why arithmetic sequences are a subset of linear functions. What makes them different?

### 16.

Explain why geometric sequences are a subset of exponential functions. What makes them different?

### 17.

The equation has many solutions. Some of them are: , , and . How can this equation be represented to show all possible solutions for the equation? Explain how the representation shows all solutions.

### 18.

The equation has many solutions. Some of them are: , , and . How can this equation be represented to show all possible solutions for the equation? Explain how the representation shows all solutions.

## Go

In problems 19 and 21 the first and fifth terms of both an arithmetic and a geometric sequence are given. Find the missing values for each sequence. Then write the explicit equation for each function.

### 19.

Arithmetic Geometric $3$ $48$ $3$ $48$

Arithmetic:

Geometric:

### 20.

Label the coordinates of the intersection points in the graph based on the table of values given in problem 19.

### 21.

Arithmetic Geometric $-12$ $-0.75$ $-12$ $-0.75$

Arithmetic:

Geometric:

### 22.

Label the coordinates of the intersection points in the graph based on the table of values given in problem 21.