Real-Life Linear Equations: Slope, Intercepts & Accuracy

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation in standard form to represent the total cost (C) of renting a car for x miles. What is the slope and what does it represent?

• C = 0.20x + 30

• -0.20x + C = 30

• C = 30 - 0.20x

• C = 30 + 0.20x

A gym charges a monthly fee of $25 and an additional $5 for each class attended. Write the linear equation in standard form for the total cost (C) based on the number of classes (x) attended. What is the y-intercept and what does it signify?

• C = 5x + 25; y-intercept = 5, signifies the cost of one class.

• 5x - C = -25; y-intercept = 25, signifies the monthly fee.

• 5x - C = -5; y-intercept = 5, signifies the cost per class.

• C = 25x + 5; y-intercept = 0, signifies no monthly fee.

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write a linear equation in standard form for the total monthly cost (C) based on the number of text messages (x) sent. What does the slope represent in this context?

• 10x - C + 4000 = 0; slope = 0.10

• C = 0.10x - 40; slope = -0.10

• 10x - C - 4000 = 0; slope = 0.40

• C = 40 + 0.10x; slope = 40

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the linear equation in standard form for the total delivery cost (C) based on the distance (x) in miles. If the total cost is $21, how many miles were driven?

• 12

• 10

• 8

• 5

A local bakery sells cupcakes for $3 each and has a fixed cost of $50 for supplies. Write the linear equation in standard form for the total revenue (R) based on the number of cupcakes (x) sold. What does the y-intercept represent?

• 2x - R = 50; y-intercept represents the total cost of $3.

• R = 3x + 50; y-intercept represents the revenue from selling one cupcake.

• 3x + R = 50; y-intercept represents the number of cupcakes sold.

• 3x - R = 0; y-intercept represents the fixed cost of $50.

A subscription service charges $15 per month plus a one-time fee of $50. Write the linear equation in standard form for the total cost (C) based on the number of months (x) subscribed. What does the slope indicate about the cost?

• C = 15x + 50

• C = 15 + 50x

• C = 50x + 15

• -15x + C = 50

A landscaping company charges a flat fee of $200 plus $50 for each hour of work. Write the linear equation in standard form for the total cost (C) based on the number of hours (x) worked. If the total cost is $400, how many hours of work were completed?

• 4

• 2

• 6

• 8

A tutoring service charges $25 per session and has a registration fee of $30. Write the linear equation in standard form for the total cost (C) based on the number of sessions (x) attended. What does the y-intercept tell you about the cost?

• C = 25x; The y-intercept is $0, indicating no initial cost.

• C = 30x + 25; The y-intercept is $25, indicating the cost per session.

• C = 25x + 30; The y-intercept is $30, indicating the registration fee.

• C = 30x + 25; The y-intercept is $25, indicating a discount.