Linear Equations: Finding Slope and Intercept in Real-Life

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

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

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

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

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write a linear equation to represent the total cost (C) based on the distance (d) in miles. What do the slope and intercept represent in this context?

• C = 15 + d

• C = 15 + 2d

• C = 15 - 2d

• C = 2d + 15

A school is selling tickets for a play. The tickets cost $10 each, and there is a $50 flat fee for the venue. Write a linear equation for the total revenue (R) based on the number of tickets sold (t). Identify the slope and intercept.

• R = 10t + 50; slope = 10, intercept = 50

• R = 15t + 50; slope = 15, intercept = 50

• R = 5t + 50; slope = 5, intercept = 50

• R = 10t + 100; slope = 10, intercept = 100

Tags

CCSS.HSF.LE.B.5

A gardener charges a flat fee of $25 for a visit and $15 per hour of work. Write a linear equation to represent the total cost (C) based on hours worked (h). What do the slope and intercept indicate?

• C = 25 + 15h

• C = 25h + 15

• C = 15h

• C = 25 + 10h

Tags

CCSS.HSF.LE.B.5

A local bakery sells cupcakes for $3 each and has a daily overhead cost of $50. Write a linear equation for the total revenue (R) based on the number of cupcakes sold (c). Identify the slope and intercept.

• R = 50c; slope = 50, intercept = 0

• R = 3c; slope = 3, intercept = 0

• R = 5c; slope = 5, intercept = 0

• R = 3c + 50; slope = 3, intercept = 50

A taxi company charges a base fare of $2.50 and $1.50 per mile. Write a linear equation for the total fare (F) based on the distance traveled (d). What do the slope and intercept represent?

• F = 2.50 + 1.00d

• F = 1.50d

• F = 2.50d + 1.50

• F = 2.50 + 1.50d

A subscription service charges $10 per month plus a one-time setup fee of $20. Write a linear equation for the total cost (C) based on the number of months (m) subscribed. Identify the slope and intercept.

• C = 10m + 20; Slope: 10, Intercept: 20

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

• C = 5m + 20; Slope: 5, Intercept: 20

• C = 15m + 10; Slope: 15, Intercept: 10

A concert venue has a fixed cost of $2000 for hosting an event and charges $50 per ticket sold. Write a linear equation for the total revenue (R) based on the number of tickets sold (t). What do the slope and intercept represent in this scenario?

• R = 50t - 50; Slope: -50 (loss per ticket), Intercept: 0 (no fixed cost)

• R = 50t + 2000; Slope: 50 (revenue per ticket), Intercept: 2000 (total revenue)

• R = 50t - 2000; Slope: 50 (revenue per ticket), Intercept: -2000 (fixed cost)

• R = 2000t + 50; Slope: 2000 (fixed cost), Intercept: 50 (revenue per ticket)

Tags

CCSS.HSF.LE.B.5