Slope-Intercept Form: Write & Identify Linear Equations

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m). What is the slope and y-intercept?

• C = 20 + 0.20m; slope = 0.20, y-intercept = 20

• C = 20 + 0.10m; slope = 0.10, y-intercept = 20

• C = 15 + 0.15m; slope = 0.15, y-intercept = 15

• C = 20 + 0.15m; slope = 0.15, y-intercept = 20

A local gym charges a monthly membership fee of $30 and an additional $5 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 + 20; slope = 10, intercept = 20

• C = 5c + 25; slope = 5, intercept = 25

• C = 5c + 30; slope = 5, intercept = 30

• C = 3c + 30; slope = 3, intercept = 30

A delivery service charges a base fee of $10 and $2 for each mile driven. If the total cost is $26, how many miles were driven? Write the equation in slope-intercept form and identify the slope and intercept.

• 4

• 6

• 8

• 10

A phone plan costs $40 per month plus $0.10 for each text message sent. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t). What do the slope and intercept represent in this context?

• C = 0.10 + 40t; Slope (40) represents the cost per text message, and the intercept (0.10) represents the base monthly cost.

• C = 40t + 0.10; Slope (40) represents the base cost, and the intercept (0.10) represents the cost per text message.

• C = 40 + 0.10t; Slope (0.10) represents the cost per text message, and the intercept (40) represents the base monthly cost.

• C = 50 + 0.05t; Slope (0.05) represents the cost per text message, and the intercept (50) represents the base monthly cost.

A gardener charges a flat rate of $50 for a service plus $15 for each hour worked. Write the equation in slope-intercept form for the total cost (C) based on hours worked (h). Identify the slope and intercept.

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

• C = 20h + 50; Slope: 20, Intercept: 50

• C = 15h + 30; Slope: 15, Intercept: 30

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

A taxi company charges a base fare of $3.50 and $2.50 per mile. Write the equation in slope-intercept form for the total fare (F) based on miles traveled (m). What is the slope and y-intercept?

• Slope: 3.50, Y-intercept: 2.50

• Slope: 2.50, Y-intercept: 5.00

• Slope: 2.50, Y-intercept: 3.50

• Slope: 2.00, Y-intercept: 4.00

A school is selling tickets for a play. The tickets cost $5 each, and there is a $10 fee for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). Identify the slope and intercept.

• R = 10t - 5; slope = 10, intercept = -5

• R = 10t + 5; slope = 10, intercept = 5

• R = 5t + 10; slope = 5, intercept = 10

• R = 5t - 10; slope = 5, intercept = -10

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation in slope-intercept form for the total cost (C) based on the number of months (m). What do the slope and intercept represent?

• C = 15m + 25

• C = 15m - 25

• C = 10m + 25

• C = 25m + 15

A concert venue charges a flat fee of $100 for renting the space and $20 for each hour of use. Write the equation in slope-intercept form for the total cost (C) based on hours used (h). Identify the slope and intercept.

• C = 20h + 100; Slope: 20, Intercept: 100

• C = 25h + 100; Slope: 25, Intercept: 100

• C = 15h + 100; Slope: 15, Intercept: 100

• C = 20h + 80; Slope: 20, Intercept: 80

A bakery sells cupcakes for $3 each and has a daily overhead cost of $50. Write the equation in slope-intercept form for the total revenue (R) based on the number of cupcakes sold (c). What is the slope and y-intercept?

• R = 3c - 50; slope = 3, y-intercept = -50

• R = 5c - 50; slope = 5, y-intercept = -50

• R = 3c + 50; slope = 3, y-intercept = 50

• R = 2c - 50; slope = 2, y-intercept = -50