Solving Linear Word Problems Effectively

The video tutorial covers solving word problems using slope and y-intercept. It begins with an introduction to the concepts of slope and y-intercept, followed by practical examples. The first example involves calculating the rate of change in a bike rental scenario. The second example deals with water evaporation in a swimming pool, requiring the calculation of water addition rate. The third example involves recognizing a pattern in a sequence of dots and forming a corresponding equation. The final example calculates the height of a bird over time using slope. Each example demonstrates how to apply slope and y-intercept concepts to real-world problems.

What is the slope-intercept form of a linear equation?

• b = mx + y

• y = b + mx

• y = mx + b

• x = my + b

If Karen rented a bike and it cost her $19 after 2 days and $47 after 6 days, what is the rate of change per day?

• $9

• $7

• $11

• $5

What was the initial cost to rent the bike?

• $3

• $9

• $5

• $7

How much would it cost to rent the bike for a full week (7 days)?

• $59

• $54

• $64

• $49

If a swimming pool has 134 gallons of water at 9 PM and 242 gallons at midnight, what is the rate of change in gallons per hour?

• 42 gallons/hour

• 36 gallons/hour

• 30 gallons/hour

• 24 gallons/hour

How many gallons of water were in the pool before water was added?

• 120 gallons

• 140 gallons

• 134 gallons

• 128 gallons

In a dot pattern, if figure 1 has 1 dot, figure 2 has 3 dots, and figure 3 has 5 dots, how many dots will figure 5 have?

• 7 dots

• 9 dots

• 8 dots

• 10 dots

What is the rate of change in the dot pattern?

• 3

• 1

• 2

• 4

If a bird's height is 640 inches at 2 minutes and 930 inches at 5 minutes, what is the rate of change in inches per minute?

• 96.66 inches/minute

• 97.66 inches/minute

• 99.66 inches/minute

• 98.66 inches/minute

What will be the height of the bird after 8 minutes?

• 1417.8 inches

• 1318.8 inches

• 1120.8 inches

• 1219.8 inches