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Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 9

Last updated almost 3 years ago

6 questions

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Question 1

1.

Draggable item		Corresponding Item

Question 2

2.

A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.

Question 3

3.

A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.
Write an equation that describes the relationship between d and h.

Question 4

4.

A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.
After how many hours will the hikers be 16 miles from their car?

Question 5

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Question 6

6.

Draggable item		Corresponding Item

"Source: Open Up Resouces (Download for free at openupresources.org.)"

Suppose that during its flight, the elevation  (in feet) of a certain airplane and its time , in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the slope is positive, zero, or negative.

The plane is descending at rate of 1000 feet per minute.

The Slope Is Zero

The plane is ascending at a rate of 2000 feet per minute.

The Slope Is Negative

The plane is cruising at an altitude of 37,000 feet above sea level.

The Slope Is Positive

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

The equation y = \frac{9}{10}x, where y is number of dollars and x is number of windows, represents Diego’s situation.

The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Elena makes the same amount of money for 20 calls as Diego makes for 18 windows.

Diego makes more money for washing each window than Elena makes for making each call.

Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.

Graph B

-\frac{1}{4}

Graph C

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Graph A

\frac{1}{4}