# Lesson 6Another DaySolidify Understanding

Solve the equations.

### 5.

The equation was created in connection with the following situation:

Jamie is considering a job opportunity that is offering a signing bonus of and per hour. He is hoping to earn before he returns to school in the fall.

Solve for .

#### b.

If Jamie can work hours per week, how many weeks will it take to achieve his goal?

## Set

### 6.

Graph the equations and label them:

### 7.

Explain how can be translated to be the same as ?

### 8.

Explain how can be translated to be the same as ?

### 9.

Use the graph of and the descriptions to graph and on the same grid.

1. Function, comes from translating up .

2. Function, comes from translating down .

### 10.

Use the graph of and the descriptions to graph and on the same grid.

1. Function, comes from translating up .

2. Function, comes from translating down .

### 11.

If the graph of a function is translated either up or down to create a new function, how would this translation connect with equations of the two functions?

### 12.

Miriam remembers a saying that her uncle would always have when they asked him how he was doing. He would say, “I’m a day late and a dollar short.” She is always thinking mathematically and started wondering if this means at days he is in debt a dollar. She didn’t know if this made sense but made a table to show how she thought her uncle’s saying might be modeled mathematically.

 Days Dollars $-1$ $0$ $1$ $2$ $3$ $-1$ $-2$ $-3$ $-4$ $-5$

#### a.

Create an explicit equation to model Miriam’s table.

#### b.

Create a graph to model this situation.

#### c.

If Miriam changes her model to show that her uncle actually had \$ a day ago (so on day he has ), how will this change the graph modeling the number of dollars he has?

## Go

State the indicated features for each function and interpret the graph to answer the question.

### 13.

The graph is a model for outside temperature at a high mountain location for a fourteen-hour period.

Domain:

Range:

Increasing:

Decreasing:

Max:

Min:

-int:

-int:

When is the hottest time of the day?

### 14.

The graph is a model for the amount of gasoline in the tank of a large cargo truck during a day of travel.

Domain:

Range:

Increasing:

Decreasing:

Max:

Min:

-int:

-int:

What is happening during the time interval from to ? Why might this be the case?