Real-World Linear Relationships: Slope and Y-Intercept Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope and y-intercept of the cost function?

• Slope: 0.20, Y-intercept: 100

• Slope: 0.50, Y-intercept: 20

• Slope: 0.10, Y-intercept: 50

• Slope: 0.20, Y-intercept: 50

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. What does the slope represent in this scenario?

• The slope represents the total monthly fee of $30.

• The slope represents the annual membership fee of $360.

• The slope represents the cost per class attended, which is $5.

• The slope represents the number of classes attended each month.

A phone plan costs $40 per month plus $0.10 per text message. If you graph the total cost against the number of text messages, what does the y-intercept represent?

• $40

• $40 plus $0.05 per text message

• $10

• $0

A delivery service charges a base fee of $15 and $2 for each mile driven. If you were to graph this relationship, what would the slope indicate?

• The slope indicates the cost per mile driven, which is $2.

• The slope indicates the total cost of the delivery service.

• The slope represents the base fee of $15.

• The slope shows the distance traveled in miles.

A school is selling tickets for a play at $10 each. If they sell 100 tickets, what is the slope of the line representing total sales?

• 100

• 15

• 10

• 5

A water company charges a fixed fee of $25 plus $1.50 for every 100 gallons used. What does the y-intercept represent in this context?

• The y-intercept represents the fixed fee of $25.

• The y-intercept represents the maximum charge for water usage.

• The y-intercept represents the cost per gallon used.

• The y-intercept represents the total cost for 100 gallons.

A taxi service charges a base fare of $3 plus $2 for each mile driven. If you were to graph the cost, what does the slope tell you about the pricing?

• The slope shows that the cost decreases by $2 for each mile driven.

• The slope indicates a flat rate charge regardless of distance.

• The slope represents a one-time fee of $5 for any distance.

• The slope indicates that the cost increases by $2 for each mile driven.

A subscription service costs $15 per month plus a one-time fee of $50. What does the y-intercept represent in this pricing model?

• The y-intercept represents the monthly subscription cost of $15.

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

• The y-intercept represents the cost of the service after cancellation.

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

A local farmer sells apples for $2 per pound. If the total cost is graphed against the number of pounds, what does the slope represent?

• The slope represents the total weight of apples sold.

• The slope represents the number of apples sold per dollar.

• The slope represents the profit made per pound of apples.

• The slope represents the cost per pound of apples, which is $2.

A concert ticket costs $50 plus a $5 service fee. If you graph the total cost against the number of tickets purchased, what does the y-intercept indicate?

• The y-intercept indicates a total cost of $50.

• The y-intercept indicates a total cost of $0.

• The y-intercept indicates a total cost of $55.

• The y-intercept indicates a total cost of $5.