Slope and Distance Problems

The video tutorial covers various problems involving slopes and linear equations. It begins with an introduction to slopes, followed by a problem involving a plane's altitude changes. The next section discusses a hiking scenario to calculate distance from a car. The tutorial then compares earnings from phone calls and window washing, emphasizing proportionality. Finally, a slope matching exercise is presented to reinforce understanding of slopes in graphs.

What is the slope of a plane cruising at a constant altitude of 37,000 feet?

• Positive

• Negative

• Zero

• Undefined

If a plane descends at 1,000 feet per minute for 5 minutes, what is its final altitude starting from 37,000 feet?

• 27,000 feet

• 32,000 feet

• 42,000 feet

• 37,000 feet

What is the initial distance of the hikers from their car?

• 4 miles

• 2 miles

• 6 miles

• 0 miles

How far will the hikers be from their car after 4 hours?

• 20 miles

• 24 miles

• 16 miles

• 12 miles

What is the slope of Elena's earnings equation if she earns $1 per phone call?

• 2

• 3

• 1

• 0

How much does Diego earn for washing 18 windows?

• $18

• $20

• $22

• $24

How many windows must Diego wash to earn $40?

• 30

• 36

• 34

• 32

What is the constant of proportionality in Diego's earnings equation?

• 2/1

• 1/2

• 10/9

• 9/10

What is the slope of line A if it rises 4 units for every 1 unit it runs?

• -4

• -1/4

• 4

• 1/4

How many times steeper is line A compared to line B if line B has a slope of 1/4?

• 16 times

• 12 times

• 8 times

• 4 times