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Applications and Problem Solving

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Presentation on theme: "Applications and Problem Solving"— Presentation transcript:

1 Applications and Problem Solving

2 In 1998, at age 79, Earl Shaffer became the oldest person to through-hike all 2100 miles of the Applacian Trail—from Springer Mountain, Georgia, to Mount Katahdin, Maine.

3 Shaffer through-hiked the trail three times, in 1948 (Georgia to Maine), in 1965 (Maine to Georgia), and in 1998 (Georgia to Maine) near the 50th anniversary of his first hike.

4 Shaffer stood atop Big Walker Mountain, Virginia which is three times as far from the northern end as from the southern end.

5 Shaffer stood atop Big Walker Mountain, Virginia which is three times as far from the northern end as from the southern end.

6 How far was Shaffer from each end of the trail?

7

8 A rocket is divided into three sections: the payload and navigation section in the top, the fuel section in the middle, and the rocket engine section in the bottom.

9 The top section is one-sixth the length of the bottom section
The top section is one-sixth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 240 feet. Find the length of each section.

10 The top section is one-sixth the length of the bottom section
The top section is one-sixth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 240 feet. Find the length of each section.

11 U.S. Interstate highways post numbered markers every mile to indicate location in case of an accident or breakdown.

12 In many states, the numbers on the markers increase from west to east.

13 The sum of two consecutive mile markers on I-70 in Kansas is 559
The sum of two consecutive mile markers on I-70 in Kansas is Find the numbers on the markers.

14 The sum of three consecutive numbers is 198. Find the numbers.

15 The sum of three consecutive odd numbers is 111. Find the numbers.

16 It costs $225 per month plus 1.2 cents per copy to rent a copy machine. A law firm needs to lease a copy machine for use during a special case that they anticipate will take 3 months.

17 If they a lot a budget of $1100, how many copies can they make?

18

19 The perimeter of an NBA basketball court is 288 feet
The perimeter of an NBA basketball court is 288 feet. The length is 44 feet longer than the width. Find the dimensions of the court.

20 The perimeter of an NBA basketball court is 288 feet
The perimeter of an NBA basketball court is 288 feet. The length is 44 feet longer than the width. Find the dimensions of the court.

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22 The first angle is twice as large as the second angle and the third angle is 200 greater than second angle.

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24 In a triangular gable end of a roof, the angel of the peak is twice as large as the angle on the back side of the house. the measure of the angle on the front side is 200 greater than the angle on the back side.

25 How large are the angles?

26 The average top speed of the three fastest roller coasters in the world is 109 mph. The third fastest roller coaster, Superman the Escape (at Six flags Magic Mountain, Los Angeles, CA) reaches a top speed of 20 mph less than the fastest roller coaster, Top Thrill Dragster (in Cedar Point, Sandusky, OH).

27 The second fastest roller coaster Dodonpa (in Fujikyu Highlands, Japan) has a top speed of 107 mph. What is the top speed of the fastest roller coaster?

28 Speed of the fastest roller coaster
x Speed of the second fastest roller coaster 107 Speed of the third fastest roller coaster x-20

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30 An investment is made at 6% simple interest for 1 year
An investment is made at 6% simple interest for 1 year. It grows to $ How much was originally invested (the principal)?

31 The Landers are planning to sell their home
The Landers are planning to sell their home. If they want to be left with $117,500 after paying 6% of the selling price to a realtor as a commission, for how much must they sell the house?

32 Lesson 2.6 Numbers 1-36


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