Writing Equations & Identifying Slope in Word Problems

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

• Slope: 0.15, Y-intercept: 20

• Slope: 0.20, Y-intercept: 15

• Slope: 0.25, Y-intercept: 10

• Slope: 0.10, Y-intercept: 25

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 25 + 5c; Slope: 5, Intercept: 25

• C = 30 + 10c; Slope: 10, Intercept: 30

• C = 30 + 5c; Slope: 5, Intercept: 30

• C = 30 + 2c; Slope: 2, Intercept: 30

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (t) sent. What do the slope and intercept represent?

• C = 25 + 0.10t; Slope: 0.10 (cost per text), Intercept: 25 (base cost)

• C = 25t + 0.10; Slope: 25 (base cost), Intercept: 0.10 (cost per text)

• C = 0.10 + 25t; Slope: 25 (cost per text), Intercept: 0.10 (base cost)

• C = 0.10t; Slope: 0.10 (cost per text), Intercept: 0 (no base cost)

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the slope-intercept equation for the total delivery cost (D) in terms of miles (m). Identify the slope and intercept.

• D = 10m + 2; slope = 10, intercept = 2

• D = 2m + 5; slope = 2, intercept = 5

• D = 2m + 10; slope = 2, intercept = 10

• D = 5m + 10; slope = 5, intercept = 10

A school is selling tickets for a play. The tickets cost $5 each, and there is a $50 flat fee for the venue. Write the equation for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

• R = 5t + 100; slope = 5, intercept = 100

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

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

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

A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Write the equation for the total cost (C) based on the number of cupcakes (c) made. Identify the slope and intercept.

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

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

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

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

A taxi company charges a base fare of $2.50 and $1.50 per mile. Write the slope-intercept equation for the total fare (F) based on the number of miles (m) driven. What do the slope and intercept represent?

• F = 2.50 + 1.50m

• F = 2.00 + 1.50m

• F = 2.50m + 1.00

• F = 1.50m

A concert venue has a fixed cost of $200 for renting the space and charges $10 per ticket sold. Write the equation for the total income (I) based on the number of tickets sold (t). Identify the slope and intercept.

• I = 10t - 200; Slope: 10, Intercept: -200

• I = 10t - 10; Slope: 10, Intercept: -10

• I = 200t + 10; Slope: 200, Intercept: 10

• I = 10t + 200; Slope: 10, Intercept: 200

A farmer sells apples for $2 each and has a fixed cost of $50 for supplies. Write the equation for the total revenue (R) based on the number of apples (a) sold. What is the slope and intercept?

• R = 50 + 2a; slope = 50, intercept = 2

• R = 2a; slope = 2, intercept = 0

• R = 2a + 50; slope = 50, intercept = 2

• R = 3a; slope = 3, intercept = 0

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

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

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

• C = 15m + 25; Slope: 15, Intercept: 25

• C = 20m + 25; Slope: 20, Intercept: 25