Linear Models to Make Predictions

What is the equation of a line that has a slope of 3
and passes through the point (4, -5)

• y - 5 = 3 (x - 4)
• y + 4 = 3 (x - 5)
• y - 5 = 3(x + 4)
• y + 5 = 3(x - 4)

The population of a town was 35,000 people this year, and is predicted to increase by 750 people each year from now on.  We can model this with y=35000+750x, where x is the number of years in the future, and y is the total population of the town.  How big is the town this year?

• 35,000 people
• 35, 750 people
• 0 people
• 350,000 people

y=125 + 80x models the amount of money (y) in the register after selling x tickets. How much money does she have in the register before selling any tickets? 

• $125
• $80
• $205
• $45

A baseball coach graphs some data and finds the line of best fit.  The equation for the line of best fit is  y = 0.32x – 20.51, where x is the number of times at bat and y is the number of hits. How many hits should he expect from a player who is at bat 175 times? 

• A
• B
• C
• D

The scatter plot below shows the average yearly consumption of bottled water by people in the United States starting in 1990.Using the line of best fit, predict the average consumption of bottled water in the year 2000?

• A
• B
• C
• D

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. How much will the hire make working 10 hours?

• $123.00
• $100.00
• $12.30
• $200.00

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. How much will the hire make working 80 hours?

• $123.00
• $100.00
• $984.00
• $500.00

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. After how many hours will they earn $500?

• 10.1 hours
• 22.5 hours
• 40.6 hours
• 0.02 hours

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. After how many hours will they earn $5,000?

• 101 hours
• 25 hours
• 406 hours
• 0.2 hours

The population of a town was 35,000 people this year, and is predicted to increase by 750 people each year from now on.  We can model this with y=35000+750x, where x is the number of years in the future, and y is the total population of the town.  How big is the town in 10 years?

• 35,000 people
• 420,500 people
• 42,500 people
• 4,250 people