Linear Equations and Their Applications

The video tutorial covers solving linear equations using word problems. It explains how to write equations given two points, focusing on finding the slope and using the point-slope form. Three examples are provided: calculating the cost of surfing the web, converting Celsius to Fahrenheit, and determining car depreciation. Each example demonstrates how to find the slope and use it to solve real-world problems.

What is the first step when given two points to write a linear equation?

• Find the y-intercept

• Find the slope

• Find the x-intercept

• Find the midpoint

Tags

CCSS.8.EE.B.5

Given the points (15, 4.05) and (40, 5.80), what is the slope of the line?

• 0.07

• 0.10

• 0.05

• 0.15

Tags

CCSS.HSF.LE.B.5

Using the equation y = 0.07x + 3, what is the cost of surfing the internet for 60 minutes?

• $6.00

• $7.20

• $8.40

• $5.00

Tags

CCSS.8.EE.B.5

What are the two points used to convert Celsius to Fahrenheit?

• (32, 0) and (212, 100)

• (0, 100) and (32, 212)

• (100, 32) and (212, 0)

• (0, 32) and (100, 212)

Tags

CCSS.8.EE.B.5

What is the slope of the line that converts Celsius to Fahrenheit?

• 1.8

• 1.6

• 1.7

• 1.5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Using the equation y = 1.8x + 32, what is 25 degrees Celsius in Fahrenheit?

• 77°F

• 79°F

• 75°F

• 80°F

Tags

CCSS.HSF.BF.A.2

What is the value of the car after 3 years?

• $15,000

• $11,000

• $13,000

• $10,000

Tags

CCSS.8.EE.B.5

What is the slope of the line representing the car's depreciation?

• -$2,000 per year

• -$2,500 per year

• -$3,000 per year

• -$1,500 per year

Tags

CCSS.HSF.LE.B.5

Using the equation y = -2000x + 21000, what is the value of the car after 8 years?

• $5,000

• $6,000

• $4,000

• $3,000

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept in the car depreciation equation y = -2000x + 21000?

• $20,000

• $15,000

• $21,000

• $22,000

Tags

CCSS.HSF-IF.C.7A