Predicting Trends: Linear Relationships in Real Life

A school is tracking the number of students participating in after-school clubs over the years. In 2018, there were 50 students, and in 2022, there were 90 students. If this trend continues, what will be the predicted number of students in 2025?

• 120

• 80

• 150

• 100

A car rental company found that the number of rentals per month can be modeled by the equation y = 15x + 100, where x is the number of months since January. How many rentals can they expect in July (7 months after January)?

• 200

• 150

• 190

• 250

A farmer records the height of his corn plants over several weeks. The data shows that after 2 weeks, the average height is 10 inches, and after 6 weeks, it is 30 inches. What is the line of best fit for this data, and what would be the predicted height after 8 weeks?

• 35 inches

• 40 inches

• 25 inches

• 20 inches

A local gym tracks the number of new memberships each month. In January, they had 20 new members, and by June, they had 80. What is the slope of the line of best fit for this data, and how many new members can they expect in August?

• 75

• 120

• 104

• 90

A bookstore notices that the number of books sold increases linearly with the number of advertising campaigns run. If they sold 200 books after 3 campaigns and 350 books after 5 campaigns, what is the equation of the line of best fit?

• y = 100x + 50

• y = 75x - 25

• y = 50x - 100

• y = 80x + 10

A city is analyzing its population growth. In 2010, the population was 150,000, and in 2020, it was 180,000. If this trend continues, what will be the estimated population in 2030?

• 210000

• 250000

• 220000

• 200000

A student measures the time it takes to complete a math test based on the number of practice problems completed. After collecting data, they find that for every 5 problems practiced, the time decreases by 2 minutes. If they practiced 20 problems, how much time would they predict to take on the test?

• T - 10 minutes

• T - 8 minutes

• T - 6 minutes

• T - 12 minutes

A tech company records the number of software downloads over several months. If they had 1,000 downloads in January and 2,500 in June, what is the line of best fit, and how many downloads can they predict for September?

• 2000

• 2700

• 3200

• 1500

A student is analyzing the relationship between hours studied and test scores. If they find that studying for 2 hours results in a score of 70 and studying for 5 hours results in a score of 90, what is the equation of the line of best fit, and what score can they predict for studying 4 hours?

• 80

• 75

• 60

• 43.33