Predicting Values and Interpreting Slope in Real Situations

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, what is the total cost? Use the equation to predict the cost for 200 miles.

• $90

• $130

• $110

• $70

A school is tracking the number of students participating in after-school activities over the years. The data shows a linear increase from 50 students in 2018 to 80 students in 2022. What is the slope of the line, and what does it represent in this context?

• 10

• 5

• 7.5

• 15

A gardener measures the height of a plant over several weeks and finds that it grows about 2 inches per week. If the plant is currently 10 inches tall, how tall will it be in 5 weeks? Write the equation and predict the height.

• 20 inches

• 30 inches

• 25 inches

• 15 inches

A local gym tracks the number of members over the past year. The data shows that the number of members increased from 200 to 300 in 12 months. What is the slope of the line, and how many members would you predict in 18 months?

• 400

• 250

• 350

• 300

A store sells notebooks for $2 each and pens for $1 each. If a student buys 5 notebooks and 3 pens, write an equation to represent the total cost and predict the cost if they buy 10 notebooks and 5 pens.

• 20

• 15

• 30

• 25

A city is monitoring its population growth. In 2010, the population was 100,000, and in 2020 it was 120,000. What is the slope of the line representing this growth, and what will the population be in 2025 if the trend continues?

• 130000

• 135000

• 140000

• 125000

A bike-sharing program records the number of rides taken each month. In January, there were 500 rides, and by June, there were 1,200 rides. Calculate the slope and predict the number of rides in August.

• 1200 rides

• 1600 rides

• 1480 rides

• 1000 rides

A student is saving money for a new laptop. They save $25 each week. If they currently have $100 saved, write an equation to represent their savings and predict how much they will have saved in 10 weeks.

• $300

• $400

• $250

• $350

A restaurant tracks its daily sales and finds that they increase by $200 each week. If their sales were $1,000 last week, write an equation to predict their sales in 4 weeks.

• $1,600

• $1,400

• $2,000

• $1,800