Lesson 6 Another Day Solidify Understanding

Ready

Solve the equations.

1.

2.

3.

4.

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.

a.

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:

a blank 17 by 17 grid

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 .

a negative sloped linear function on a coordinate plane x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

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 .

an exponential function on a coordinate plane x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

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

a.

Create an explicit equation to model Miriam’s table.

b.

Create a graph to model this situation.

a blank 17 by 17 grid

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.

a curved line on a coordinate plane where the x axis is hours and the y axis is temperature Hours–5–5–5555101010151515202020Temperature101010202020303030404040505050606060707070808080000

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.

an irregular line on a coordinate plane where the x axis is hours and the y axis is gas in gallons Hours555101010151515Gas (gallons)555101010151515202020252525303030353535404040000

Domain:

Range:

Increasing:

Decreasing:

Max:

Min:

-int:

-int:

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