Exploring Intercepts: Real-Life Contexts & Algebraic Solutions

A car rental company charges a flat fee of $50 plus $20 per day. What does the y-intercept represent in this scenario?

• The y-intercept represents the flat fee of $50.

• The y-intercept represents the daily charge of $20.

• The y-intercept represents the cost of renting a car for a week.

• The y-intercept represents the total cost after one day.

If a gardener plants flowers in a garden that can hold a maximum of 100 plants, and he plants 10 flowers each week, what does the x-intercept represent in this context?

• The x-intercept indicates the maximum capacity of the garden.

• The x-intercept shows the total number of flowers that can be planted in a day.

• The x-intercept represents the number of flowers planted each week.

• The x-intercept represents the total number of weeks needed to plant all 100 flowers.

A phone plan costs $30 per month plus $0.10 per minute. What does the y-intercept indicate about the cost of the plan?

• The y-intercept shows the total cost after 100 minutes.

• The y-intercept represents the maximum cost of the plan.

• The y-intercept indicates the cost per minute of the plan.

• The y-intercept indicates that the base cost of the plan is $30 per month.

A factory produces 200 toys per day. If the production cost is $500 per day, what does the y-intercept represent in the cost equation?

• The fixed production cost of $500 per day.

• The profit made from selling the toys.

• The variable cost per toy produced.

• The total cost of producing 200 toys.

A school charges $200 for a field trip plus $15 per student. What does the x-intercept tell us about the number of students needed to break even?

• The x-intercept indicates that no positive number of students can break even.

• The x-intercept indicates that 200 students are needed to break even.

• The x-intercept represents the total cost of the field trip.

• The x-intercept shows the exact number of students needed to break even.

A swimming pool is filled at a rate of 5 gallons per minute. If it starts empty, what does the y-intercept represent in the context of the pool's water level?

• 0 gallons

• 10 gallons

• 1 gallon

• 5 gallons

A subscription service charges $10 per month with a one-time fee of $50. What does the x-intercept represent in terms of total cost?

• The x-intercept represents the break-even point in terms of total cost.

• The x-intercept represents the initial fee only.

• The x-intercept shows the total cost after one year.

• The x-intercept indicates the monthly fee.

A bakery sells cupcakes for $3 each and has fixed costs of $100. What does the y-intercept indicate about the bakery's expenses?

• The y-intercept indicates the number of cupcakes sold.

• The y-intercept represents the cost of each cupcake sold.

• The y-intercept shows the total revenue of the bakery.

• The y-intercept indicates that the bakery has fixed expenses of $100.

A delivery service charges a base fee of $15 plus $2 per mile. What does the y-intercept represent in this pricing model?

• The base fee of $15.

• The cost per mile charged by the service.

• The total cost of the delivery service.

• The maximum distance for a delivery.

A concert venue has a seating capacity of 500. If tickets are sold at $20 each, what does the x-intercept represent in terms of ticket sales?

• The x-intercept represents the maximum number of tickets sold.

• The x-intercept represents the total revenue from ticket sales.

• The x-intercept represents the point where ticket prices are zero.

• The x-intercept represents 0 tickets sold.