Exploring Slope and Intercept in Real-Life Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the linear equation that represents the total cost (C) in terms of miles driven (m). What is the slope and intercept of this equation?

• C = 30 + 0.20m; Slope: 0.20, Intercept: 30

• C = 50 + 0.20m; Slope: 0.20, Intercept: 50

• C = 50 + 0.10m; Slope: 0.10, Intercept: 50

• C = 50 + 0.50m; Slope: 0.50, Intercept: 50

Tags

CCSS.HSF.LE.B.5

A store sells notebooks for $2 each and pens for $1 each. If a student spends $10, write a linear equation to represent the relationship between the number of notebooks (n) and pens (p) bought. What is the slope of this equation?

• -1

• 0

• 1

• -2

A taxi company charges a base fare of $3 plus $2 for every mile driven. Write the equation for the total fare (F) in terms of miles (m). How would you find the y-intercept of this equation?

• F = 2m; y-intercept is 2.

• F = 5 + 2m; y-intercept is 5.

• F = 3m + 2; y-intercept is 0.

• F = 3 + 2m; y-intercept is 3.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear equation to represent the total number of flowers (F) planted after (h) hours. What does the slope represent in this context?

• F = 5h + 2; the slope represents the initial number of flowers planted.

• F = 10h; the slope represents the total number of flowers planted.

• F = 3h; the slope represents the time taken to plant each flower.

• F = 5h; the slope represents the rate of flowers planted per hour.

A school is selling tickets for a play at $8 each. If they sell 50 tickets, write a linear equation to represent the total revenue (R) generated. What is the slope of this equation?

• The slope of the equation is 10.

• The slope of the equation is 4.

• The slope of the equation is 50.

• The slope of the equation is 8.

A delivery service charges a flat fee of $15 plus $1.50 per mile. Write the equation for the total cost (C) in terms of miles (m). How would you interpret the slope and intercept?

• C = 15 + 1.50m

• C = 15 + 0.50m

• C = 15 + 2m

• C = 10 + 1.50m

Tags

CCSS.HSF.LE.B.5

A local bakery sells cupcakes for $3 each and cookies for $2 each. If a customer spends $15, write a linear equation to represent the relationship between the number of cupcakes (c) and cookies (k) bought. What does the slope indicate?

• c + 2k = 10

• 4c + k = 15

• 3c + 2k = 15

• 2c + 3k = 15

A concert venue has a seating capacity of 200. If tickets are sold for $20 each, write a linear equation to represent the total revenue (R) based on the number of tickets (t) sold. What is the y-intercept of this equation?

• 0

• 200

• 20

• $400

Tags

CCSS.HSF.LE.B.5