Exploring Slope Meaning & Y-Intercept Significance

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What does the slope represent in this scenario?

• The slope represents the flat fee charged by the company.

• The slope represents the maximum distance allowed for rental.

• The slope represents the cost per mile driven, which is $0.20.

• The slope represents the total cost of the rental.

If a student scores 80 points on a test and improves by 5 points for each additional hour of study, what does the y-intercept signify?

• The y-intercept represents the total points possible on the test.

• The y-intercept signifies the initial score of 80 points.

• The y-intercept shows the average score of all students taking the test.

• The y-intercept indicates the maximum score achievable after studying.

A gym membership costs $30 to join and $10 per month. What does the slope of the cost function indicate about the monthly expenses?

• The slope indicates that the monthly expenses are $10.

• The slope indicates that the total cost is $10.

• The slope indicates that the membership fee is $10.

• The slope indicates that the monthly expenses are $30.

A phone plan has a base cost of $25 and charges $0.10 per text message. How would you interpret the slope in this context?

• The slope represents the cost per text message, which is $0.10.

• The slope represents the total cost of the phone plan.

• The slope shows the base cost of the phone plan.

• The slope indicates the number of text messages allowed per month.

A gardener plants 10 trees and adds 2 more trees each week. What does the y-intercept represent in the equation of the number of trees over time?

• The y-intercept represents the initial number of trees planted, which is 10.

• The y-intercept represents the number of trees added each week, which is 2.

• The y-intercept represents the total number of trees after one week, which is 12.

• The y-intercept represents the maximum number of trees that can be planted, which is 20.

A delivery service charges $15 for the first mile and $3 for each additional mile. What does the slope tell you about the cost of delivery?

• The slope represents a one-time fee of $15 regardless of distance.

• The slope indicates that the cost increases by $3 for each additional mile after the first.

• The slope indicates a flat rate of $15 for any distance.

• The slope shows that the cost decreases by $3 for each additional mile.

A subscription service has a one-time fee of $20 and charges $5 per month. What does the y-intercept represent in this pricing model?

• The monthly fee of $5.

• The cost of cancellation fees.

• The one-time fee of $20.

• The total cost after one year.

A factory produces 100 units of a product and increases production by 10 units each week. How can you interpret the slope in this situation?

• The slope represents the total production of 100 units.

• The slope indicates a decrease in production over time.

• The slope is 5 units per week.

• The slope is 10 units per week.

A school charges a $50 registration fee and $15 per class. What does the y-intercept indicate about the total cost for a student?

• The y-intercept indicates that the total cost is $0 when no classes are taken.

• The y-intercept indicates that the total cost is $15 when no classes are taken.

• The y-intercept indicates that the total cost is $50 per class taken.

• The y-intercept indicates that the total cost for a student is $50 when no classes are taken.

A bike rental shop charges $5 for the first hour and $2 for each additional hour. What does the slope represent in terms of rental costs?

• The slope represents the total cost for the first hour, which is $5.

• The slope represents the cost of renting the bike for a full day.

• The slope represents the initial fee charged for renting the bike.

• The slope represents the additional cost per hour after the first hour, which is $2.