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The stem-and-leaf plot shows the speeds of the fastest steel roller coasters in Europe. The table shows the speeds of the fastest steel roller coasters in North America.

Speeds of the Fastest Steel Roller Coasters in Europe (in miles per hour)

This stem-and-leaf plot represents the speeds of the fastest steel roller coasters in Europe, where the stem indicates the tens digit and the leaf represents the ones digit.
Stem Leaf
7 4 5 5 5
8 0 0 3 4 8
9 9
11 1
Key: 7|4=74
miles per hour

Speeds of the Fastest Steel Roller Coasters in North America (in miles per hour)

This table displays the speeds of the fastest steel roller coasters in North America, categorized by country. The values represent speeds in miles per hour.
Canada 90 128 91
U.S. 93 120 100
Mexico 95 92 85
Find the range of the speeds of the fastest steel roller coasters on both continents.

(1 point)
The range of the speeds of the fastest steel roller coasters in Europe is
mph. The range of the speeds of the fastest steel roller coasters in North America is
mph.
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1 answer

To find the range of the speeds of the fastest steel roller coasters in both Europe and North America, we use the formula for range, which is:

\[ \text{Range} = \text{Maximum value} - \text{Minimum value} \]

Step 1: Calculate the Range for Europe

From the stem-and-leaf plot for Europe:

  • The speeds (in mph) are:
    • 74, 75, 75, 75 (from stem 7)
    • 80, 80, 83, 84, 88 (from stem 8)
    • 99 (from stem 9)
    • 111 (from stem 11)

Now, let's find the maximum and minimum values:

  • Maximum speed = 111 mph
  • Minimum speed = 74 mph

Calculating the range: \[ \text{Range}_{Europe} = 111 - 74 = 37 \text{ mph} \]

Step 2: Calculate the Range for North America

From the table for North America:

  • The speeds (in mph) are:
    • Canada: 90, 128, 91
    • U.S.: 93, 120, 100
    • Mexico: 95, 92, 85

Now, let's find the maximum and minimum values:

  • Maximum speed = 128 mph
  • Minimum speed = 85 mph

Calculating the range: \[ \text{Range}_{North America} = 128 - 85 = 43 \text{ mph} \]

Final Results:

  • The range of the speeds of the fastest steel roller coasters in Europe is 37 mph.
  • The range of the speeds of the fastest steel roller coasters in North America is 43 mph.