Mastering Slope: Linear Word Problems & Graphing Skills

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 the equation?

• 0.15

• 0.10

• 0.20

• 1.00

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write a linear equation to represent the total number of flowers (F) planted after h hours. What is the slope of this equation?

• F = 5h + 2; slope = 5

• F = 3h; slope = 3

• F = 5h; slope = 5

• F = 10h; slope = 10

A phone plan costs $30 per month plus $0.10 per text message. Write the equation for the total cost (C) in terms of the number of text messages (t). How can you find the total cost if you send 50 messages?

• $35

• $50

• $25

• $40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A school is selling tickets for a play at $10 each. If they have a goal of selling 200 tickets, write a linear equation to represent the total revenue (R) in terms of tickets sold (t). What is the slope of this equation?

• R = 10t; slope = 10

• R = 10t + 50; slope = 10

• R = 5t; slope = 5

• R = 15t; slope = 15

A delivery service charges a base fee of $5 plus $2 per mile. Write the equation for the total charge (C) in terms of miles (m). If a customer wants to know the charge for 10 miles, how would you calculate it?

• The charge for 10 miles is $25.

• The charge for 10 miles is $20.

• The charge for 10 miles is $15.

• The charge for 10 miles is $30.

Tags

CCSS.HSF-BF.A.1A

A factory produces 100 units of a product for a fixed cost of $500. Each additional unit costs $4 to produce. Write a linear equation for the total cost (C) in terms of the number of units produced (u). What is the slope?

• C = 4u + 100; slope = 4

• C = 500u + 4; slope = 500

• C = 100 + 4u; slope = 100

• C = 4u + 500; slope = 100

A gym charges a monthly fee of $40 plus $5 for each class attended. Write the equation for the total cost (C) in terms of classes attended (c). How would you graph this equation?

• C = 5c

• C = 40 + 10c

• C = 40 - 5c

• C = 40 + 5c

Tags

CCSS.8.EE.B.5

A bookstore sells novels for $12 each and has a fixed cost of $200 for rent. Write the equation for the total revenue (R) in terms of novels sold (n). What is the slope of this equation?

• R = 200 + 12n; slope = 12

• R = 15n; slope = 15

• R = 10n; slope = 10

• R = 12n; slope = 12

A taxi company charges a base fare of $3 plus $2 for each mile driven. Write the equation for the total fare (F) in terms of miles (m). If a customer drives 15 miles, how would you find the total fare?

• The total fare for driving 15 miles is $40.

• The total fare for driving 15 miles is $25.

• The total fare for driving 15 miles is $33.

• The total fare for driving 15 miles is $30.

Tags

CCSS.HSF-BF.A.1A