Linear Relationships: Graphing and Solving Slope Problems

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

• 0.20

• 1.00

• 0.10

• 0.15

If a person walks at a constant speed of 3 miles per hour, how far will they walk in 5 hours? Graph the linear relationship between time (t) and distance (d).

• 25 miles

• 15 miles

• 20 miles

• 10 miles

A cell phone plan costs $30 per month plus $0.10 per text message. Write the equation for the total cost (C) based on the number of text messages (m) sent. What does the slope represent in this context?

• C = 30m + 0.10; the slope represents the total monthly cost.

• C = 0.10 + 30m; the slope represents the fixed cost.

• C = 30 + 0.10m; the slope (0.10) represents the cost per text message.

• C = 30 + 0.05m; the slope represents the cost per call.

A gardener is planting flowers in a straight line. If they plant 5 flowers every hour, write a linear equation to represent the number of flowers (f) planted in terms of hours (h). What is the slope of this equation?

• The slope of the equation is 10.

• The slope of the equation is 1.

• The slope of the equation is 0.

• The slope of the equation is 5.

A taxi charges a base fare of $2.50 and $0.50 for each mile driven. If you graph the total fare (F) against the number of miles (m), what is the slope and what does it represent?

• The slope is 0.25, representing the fare decrease per mile driven.

• The slope is 1.00, representing the fare increase per mile driven.

• The slope is 0.50, representing the fare increase per mile driven.

• The slope is 2.50, representing the total fare.

A school is selling tickets for a concert at $10 each. If they sell 50 tickets, how much money will they make? Write a linear equation to represent the total revenue (R) based on the number of tickets (t) sold. What is the slope?

• The total revenue is $600 and the slope is 15.

• The total revenue is $400 and the slope is 5.

• The total revenue is $300 and the slope is 20.

• The total revenue is $500 and the slope is 10.

A factory produces 100 units of a product in the first hour and increases production by 20 units every hour. Write a linear equation for the total production (P) in terms of hours (h). What is the slope of this equation?

• The slope of the equation is 20.

• The slope of the equation is 50.

• The slope of the equation is 30.

• The slope of the equation is 10.

A bike rental shop charges a one-time fee of $5 and $2 for each hour the bike is rented. Write the equation for the total cost (C) based on hours rented (h). What does the slope indicate?

• C = 5 + 3h; The slope indicates that the cost increases by $3 for each additional hour rented.

• C = 2h; The slope indicates that the cost remains constant regardless of hours rented.

• C = 5 + 2h; The slope indicates that the cost increases by $2 for each additional hour rented.

• C = 5h; The slope indicates that the cost decreases by $5 for each additional hour rented.

A student studies for a test and finds that for every hour studied, their score increases by 15 points. If they study for 4 hours, what will their score increase to? Write the linear equation and identify the slope.

• 30 points

• 75 points

• 45 points

• 60 points

A local gym charges a monthly membership fee of $25 plus $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. What does the slope represent in this scenario?

• C = 25 + 5c; the slope represents the cost per class attended.

• C = 25 + 2c; the slope represents the number of classes attended.

• C = 30 + 5c; the slope represents the fixed monthly fee.

• C = 25 + 10c; the slope represents the total cost of membership.