Writing Equations & Identifying Slope in Real-Life Scenarios

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form to represent the total cost (C) as a function of miles driven (m). What is the slope and intercept?

• Slope: 0.50, Intercept: 20

• Slope: 30, Intercept: 0.20

• Slope: 0.20, Intercept: 30

• Slope: 0.10, Intercept: 40

A local gym charges a monthly membership fee of $25 and an additional $10 for each fitness class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c). Identify the slope and intercept.

• C = 10c + 30

• C = 10c + 25; Slope: 10, Intercept: 25

• C = 5c + 25

• C = 15c + 20

Two friends are saving money to buy a video game. Friend A saves $5 each week, starting with $10. Friend B saves $3 each week, starting with $20. Write the equations in slope-intercept form for both friends' savings. When will they have the same amount saved?

• 2 weeks

• 3 weeks

• 1 week

• 4 weeks

A taxi company charges a base fare of $2.50 and $1.50 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m). Identify the slope and intercept.

• F = 3.00m + 2.50; slope = 3.00, intercept = 2.50

• F = 2.50m + 1.50; slope = 2.50, intercept = 1.50

• F = 1.50m + 2.50; slope = 1.50, intercept = 2.50

• F = 1.50m + 3.00; slope = 1.50, intercept = 3.00

A school is selling tickets for a play. The tickets cost $8 each, and there is a $50 flat fee for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

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

• R = 8t + 30; slope = 8, intercept = 30

• R = 8t + 50; slope = 8, intercept = 50

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

A phone plan charges a monthly fee of $40 plus $0.10 per text message sent. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (x). Identify the slope and intercept.

• C = 0.10x + 30; Slope: 0.10, Intercept: 30

• C = 40x + 0.10; Slope: 40, Intercept: 0.10

• C = 0.10x + 40; Slope: 0.10, Intercept: 40

• C = 0.05x + 50; Slope: 0.05, Intercept: 50

A bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Write the equation in slope-intercept form for the total cost (C) based on the number of cupcakes (c). What is the slope and intercept?

• C = 3c + 20; slope = 3, intercept = 20

• C = 4c + 20; slope = 4, intercept = 20

• C = 3c + 15; slope = 3, intercept = 15

• C = 2c + 20; slope = 2, intercept = 20

A gardener charges a flat fee of $50 for a landscaping job and $15 per hour of work. Write the equation in slope-intercept form for the total cost (C) based on the number of hours worked (h). Identify the slope and intercept.

• C = 50h + 15; Slope: 50, Intercept: 15

• C = 15h + 50; Slope: 15, Intercept: 50

• C = 20h + 30; Slope: 20, Intercept: 30

• C = 10h + 50; Slope: 10, Intercept: 50

A bookstore sells novels for $12 each and has a fixed cost of $100 for rent. Write the equation in slope-intercept form for the total revenue (R) based on the number of novels sold (n). What is the slope and intercept?

• Slope: 0, Intercept: 12

• Slope: 15, Intercept: -100

• Slope: 12, Intercept: 0

• Slope: 10, Intercept: 5

A delivery service charges a base fee of $5 plus $2 per mile. Write the equation in slope-intercept form for the total cost (C) based on the number of miles (m). Identify the slope and intercept.

• C = 2m + 5; Slope: 2, Intercept: 5

• C = 3m + 5; Slope: 3, Intercept: 5

• C = 5m + 2; Slope: 5, Intercept: 2

• C = 2m + 10; Slope: 2, Intercept: 10