Exploring Linear Functions: Slope and Intercept in Real Life

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the linear equation that represents the total cost (C) in terms of miles driven (m). What is the slope and what does it represent in this context?

• C = 20 + 0.10m; slope = 0.10, representing the total cost.

• C = 20 + 0.15m; slope = 0.15, representing the cost per mile.

• C = 15 + 0.20m; slope = 0.20, representing the base fee.

• C = 25 + 0.15m; slope = 0.15, representing the flat fee.

Tags

CCSS.HSF.LE.B.5

A gym charges a monthly membership fee of $30 and an additional $5 for each fitness class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. What does the y-intercept represent?

• C = 30c + 5; The y-intercept represents the total cost of classes.

• C = 30 + 10c; The y-intercept represents the total cost for two classes.

• C = 5 + 30c; The y-intercept represents the cost per class attended.

• C = 30 + 5c; The y-intercept represents the monthly membership fee of $30.

Tags

CCSS.HSF.LE.B.5

A school is planning a field trip and the total cost is $500, which includes a fixed cost of $200 for the bus and $10 per student. Write the linear equation for the total cost (C) in terms of the number of students (s). What is the slope and what does it indicate?

• C = 500 + 10s; slope = 10

• C = 200 + 5s; slope = 5

• C = 200 + 15s; slope = 15

• C = 200 + 10s; slope = 10

A phone company offers a plan that costs $50 per month plus $0.10 per text message. If a customer sends 100 text messages in a month, how much will they pay? What is the slope of the cost function?

• $50; slope is $0.20

• $80; slope is $0.15

• $70; slope is $0.05

• $60; slope is $0.10

A local farmer sells apples for $2 each and has a fixed cost of $50 for supplies. Write the equation for the total revenue (R) based on the number of apples sold (a). What does the y-intercept represent in this scenario?

• R = 2a; The y-intercept represents the total revenue when no apples are sold, which is $0.

• R = 2a + 50; The y-intercept represents the total cost when no apples are sold.

• R = 50 + 2a; The y-intercept represents the fixed cost of supplies.

• R = 2a - 50; The y-intercept represents the loss incurred when no apples are sold.

Tags

CCSS.8.EE.B.5

A taxi company charges a base fare of $3 plus $1.50 per mile. If a passenger travels 5 miles, what will be the total fare? How does the slope relate to the cost per mile?

• $12.00

• $8.00

• $9.50

• $10.50

A subscription service charges $10 per month plus a one-time setup fee of $25. Write the equation for the total cost (C) based on the number of months (m) subscribed. What does the y-intercept represent?

• C = 10m + 50; The y-intercept represents the total cost for two months.

• C = 10m - 25; The y-intercept represents the monthly fee of $10.

• C = 25m + 10; The y-intercept represents the total cost after one month.

• C = 10m + 25; The y-intercept represents the one-time setup fee of $25.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A bookstore sells novels for $15 each and has a fixed cost of $100 for rent. Write the equation for the total revenue (R) based on the number of novels sold (n). What does the slope represent in this context?

• R = 15n; the slope represents the revenue per novel sold.

• R = 100 + 15n; the slope represents the total cost of novels sold.

• R = 100n; the slope represents the fixed cost of rent.

• R = 15n + 100; the slope represents the total number of novels sold.

Tags

CCSS.HSF.LE.B.5