Equations from Real-Life Scenarios: Slope & Intercept Quiz

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write an equation to represent the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.10, Y-intercept: 25

• Slope: 0.15, Y-intercept: 20

• Slope: 20, Y-intercept: 0.15

A local gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 25 + 5c; Slope: 5, Intercept: 25

• C = 30 + 10c; Slope: 10, Intercept: 30

• C = 30 + 5c; Slope: 5, Intercept: 30

• C = 30 + 2c; Slope: 2, Intercept: 30

Tags

CCSS.HSF.LE.B.5

A farmer sells apples for $2 each and has a fixed cost of $50 for supplies. Create an equation for the total revenue (R) based on the number of apples sold (a). What do the slope and intercept represent in this context?

• R = 2a; slope = 2 (revenue per apple), intercept = 0 (no revenue if no apples sold)

• R = a; slope = 1 (one dollar per apple), intercept = 0 (no revenue if no apples sold)

• R = 2a + 50; slope = 2 (revenue per apple), intercept = 50 (initial cost)

• R = 50a; slope = 50 (fixed cost), intercept = 50 (revenue at zero sales)

Tags

CCSS.HSF.LE.B.5

A school is planning a field trip and charges $10 per student plus a $100 bus fee. Write an equation for the total cost (C) based on the number of students (s). Identify the slope and y-intercept.

• C = 15s + 100; Slope: 15, Y-intercept: 100

• C = 10s + 50; Slope: 10, Y-intercept: 50

• C = 5s + 100; Slope: 5, Y-intercept: 100

• C = 10s + 100; Slope: 10, Y-intercept: 100

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the equation for the total charge (C) based on the distance (d) in miles. Identify the slope and intercept of this equation.

• C = 5 + d; slope = 1, intercept = 5

• C = 5 + 2d; slope = 2, intercept = 5

• C = 2 + 5d; slope = 5, intercept = 2

• C = 5 + 3d; slope = 3, intercept = 5

Tags

CCSS.HSF.LE.B.5

A concert venue sells tickets for $50 each and has a fixed cost of $2000 for the event. Write an equation for the total revenue (R) based on the number of tickets sold (t). What do the slope and intercept represent?

• R = 2000 + 50t

• R = 50t - 2000

• R = 50t

• R = 2000t

A bookstore has a membership that costs $15 per year and offers a 10% discount on all purchases. Write an equation for the total cost (C) based on the amount spent (x). Identify the slope and intercept.

• C = 0.8x + 15; slope = 0.8, intercept = 15

• C = 0.9x + 15; slope = 0.9, intercept = 15

• C = 0.85x + 15; slope = 0.85, intercept = 15

• C = 0.9x + 10; slope = 0.9, intercept = 10

Tags

CCSS.HSF.LE.B.5

A taxi company charges a flat rate of $3 plus $2 for each mile driven. Write an equation for the total fare (F) based on the number of miles (m). What are the slope and intercept of this equation?

• Slope: 1, Intercept: 5

• Slope: 2, Intercept: 3

• Slope: 4, Intercept: 0

• Slope: 3, Intercept: 2

A subscription service charges $12 per month and an additional $3 for each movie rented. Write an equation for the total cost (C) based on the number of movies rented (r). Identify the slope and intercept of this equation.

• C = 12 + 5r; Slope: 5, Intercept: 12

• C = 15 + 2r; Slope: 2, Intercept: 15

• C = 12 + 3r; Slope: 3, Intercept: 12

• C = 12 + 4r; Slope: 4, Intercept: 12

Tags

CCSS.HSF.LE.B.5