Real-Life Linear Functions: Interpret Slope & Intercept

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear function to represent the total cost (C) of renting a car for x miles. What is the slope and what does it represent in this context?

• The slope is 20, representing the flat fee for renting the car.

• The slope is 0.15, representing the cost per mile driven.

• The slope is 0.30, representing the cost for every two miles driven.

• The slope is 0.15, representing the total cost of the rental.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write a linear equation to represent the total cost (C) for attending x classes in a month. What does the y-intercept represent?

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

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

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

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

A phone plan costs $25 per month plus $0.10 for each text message sent. Write a linear function to model the total cost (C) for sending x text messages. How would you interpret the slope?

• C(x) = 25 + 0.05x; The slope (0.05) indicates the total monthly cost.

• C(x) = 25 + 0.10x; The slope (0.10) indicates the cost per text message.

• C(x) = 0.10x; The slope (0.10) indicates the fixed cost of the plan.

• C(x) = 25 + 0.20x; The slope (0.20) indicates the cost of the plan.

A delivery service charges a base fee of $10 and $2 for each mile driven. Write a linear equation for the total cost (C) based on the distance (d) in miles. What does the y-intercept indicate?

• C = 10d; the y-intercept indicates the total cost for 0 miles.

• C = 2 + 10d; the y-intercept indicates the cost per mile.

• C = 10 + d; the y-intercept indicates the cost for 1 mile.

• C = 10 + 2d; the y-intercept indicates the base fee of $10.

A school is selling tickets for a fundraiser at $5 each. If they sell x tickets, write a linear function to represent the total money raised (R). What does the slope represent in this scenario?

• The slope represents the fixed cost of the fundraiser.

• The slope represents the maximum amount of money that can be raised.

• The slope represents the total number of tickets sold.

• The slope represents the amount of money raised per ticket sold, which is $5.

A local farmer sells apples for $2 per pound. If he sells x pounds, write a linear equation to represent his total earnings (E). How would you interpret the slope and intercept?

• E = 3x

• E = 2x + 5

• E = 2x

• E = x/2

A taxi company charges a flat rate of $3 plus $1.50 per mile. Write a linear function to represent the total fare (F) for a ride of x miles. What does the slope represent?

• F(x) = 1.50x; the slope represents the total fare.

• F(x) = 3 + 0.75x; the slope represents the discount per mile.

• F(x) = 3 + 1.50x; the slope represents the cost per mile.

• F(x) = 3 + 2x; the slope represents the initial charge.

A subscription service charges $10 per month plus a one-time fee of $15. Write a linear equation to represent the total cost (C) for x months. What does the y-intercept represent?

• C = 15x + 10; The y-intercept represents the monthly fee of $10.

• C = 10x + 15; The y-intercept represents the one-time fee of $15.

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

• C = 5x + 15; The y-intercept represents the total cost for zero months.

A bookstore sells novels for $12 each. If they sell x novels, write a linear function to represent the total sales (S). What does the slope indicate in this context?

• S = 10x; the slope indicates the total number of novels sold.

• S = 15x; the slope indicates the cost of each novel.

• S = 12x; the slope indicates the increase in total sales per novel sold.

• S = 12x + 5; the slope indicates the fixed costs of the bookstore.

A concert venue charges $50 for a ticket and an additional $10 for parking. Write a linear equation to represent the total cost (C) for attending the concert. How would you interpret the slope and intercept?

• C = 50 + 10P

• C = 10 + 50P

• C = 50P + 10

• C = 10P + 50