Modeling Linear Relationships

• point slope

• standard form

• slope

• slope-intercept

Which of these represents slope-intercept form of a linear equation?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b

Which application should you use to solve the given problem?

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to find the cost of 4 lessons.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Which application should you use to solve the given problem?

ChitChat Wireless charges $0.30 per minute plus a monthly base fee. In September, Maggie used120 minutes and her bill was $51. Write and solve an equation to find the cost if Maggie uses 165 minutes in October.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Which application should you use to solve the given problem?

A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Which application should you use to solve the given problem?

To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18minutes. Write and solve an equation to find the number of minutes it will take to serve a party of 8.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Which application should you use to solve the given problem?

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth’s 9th birthday, the total population was nearly 307,650. Write and solve a linear equation to find the population on Beth’s 16th birthday.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)

Answer explanation

To answer this question consider what type of information was given. Two sample points? A rate and a point? A rate and a start value?

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)

Answer explanation

To answer this question consider what type of information was given. Two sample points? A rate and a point? A rate and a start value?

This problem:

• gives you a rate of change (slope) and a starting point (y-intercept)

• relates two different objects

• gives you a rate of change (slope) and a sample point (x,y)