Writing Linear Equations from Real World Scenarios

The video tutorial explains how to write equations in slope-intercept form using real-world examples. It covers a cell phone plan and a music streaming service to illustrate the concepts of slope and intercept. The tutorial demonstrates how to solve equations to find the number of months a service can be paid for or the cost incurred over a period. It emphasizes understanding constants and variables in equations and applying mathematical operations to solve real-world problems.

What is the slope in the equation y = 50x + 200 for the cell phone plan?

• 200

• y

• 50

• x

In the equation y = 50x + 200, what does the 200 represent?

• Total cost

• Number of months

• Initial cost

• Monthly charge

If you have $1300 to spend on a cell phone plan, how many months can you pay for?

• 26 months

• 24 months

• 22 months

• 20 months

What is the first step in solving the equation 1300 = 50x + 200 for x?

• Multiply by 50

• Subtract 200

• Divide by 50

• Add 200

How much will you spend on a cell phone plan after 18 months?

• $900

• $1000

• $1100

• $1200

What is the total cost after 18 months if the monthly charge is $50 and the initial cost is $200?

• $1100

• $1000

• $1200

• $900

What is the equation for the total cost of a music streaming service with an $8.25 sign-up fee and $0.75 per song?

• y = 0.75 + 8.25x

• y = 0.75x + 8.25

• y = 8.25 + 0.75x

• y = 8.25x + 0.75

How much did Jada spend if she downloaded 22 songs?

• $24.75

• $16.50

• $22.75

• $30.00

If Jada has $15 to spend, how many songs can she download?

• 12 songs

• 10 songs

• 9 songs

• 15 songs

What is the first step in solving the equation 15 = 0.75x + 8.25 for x?

• Divide by 0.75

• Subtract 8.25

• Add 8.25

• Multiply by 0.75