# Lesson 8Getting 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 cannot 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

The first and fifth terms of a sequence are given. Fill in the missing numbers if it is an arithmetic sequence. Then fill in the numbers if it is a geometric sequence. Write the explicit rule for each function.

Arithmetic:

Geometric:

### 19.

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

Arithmetic:

Geometric:

### 20.

Arithmetic Geometric $\text{-6,250}$ $-10$ $\text{-6,250}$ $-10$

Arithmetic:

Geometric:

### 21.

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

Arithmetic:

Geometric: