Exploring Slope-Intercept Form 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 y-intercept?

• Slope: 0.50, Y-intercept: 30

• Slope: 30, Y-intercept: 0.20

• Slope: 0.20, Y-intercept: 30

• Slope: 0.20, Y-intercept: 50

A phone company offers a plan that costs $50 per month 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 (t). Identify the slope and intercept.

• C = 0.10t + 50; Slope: 0.10, Intercept: 50

• C = 50t + 0.10; Slope: 50, Intercept: 0.10

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

• C = 0.10t + 100; Slope: 0.10, Intercept: 100

A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c). What do the slope and intercept represent?

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

• C = 4c + 40; Slope = 4, Intercept = 40

• C = 5c + 40; Slope = 5 (cost per class), Intercept = 40 (monthly fee)

• C = 10c + 20; Slope = 10, Intercept = 20

Two friends are saving money for a concert. Friend A saves $15 a week, while Friend B saves $10 a week. Write the equations in slope-intercept form for each friend's savings (S) based on the number of weeks (w). What is the slope for each friend?

• Friend B: S = 15w (slope = 15)

• Friend A: S = 15w (slope = 15), Friend B: S = 10w (slope = 10)

• Friend A: S = 10w (slope = 10)

• Friend A: S = 20w (slope = 20)

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 10 items for $24, write a system of equations in slope-intercept form to represent the situation. Identify the slope and intercept of each equation.

• y = -0.5x + 5 (slope -0.5, intercept 5)

• y = -3x + 15 (slope -3, intercept 15)

• y = -2x + 8 (slope -2, intercept 8)

• 1) y = -1x + 10 (slope -1, intercept 10), 2) y = -1.5x + 12 (slope -1.5, intercept 12)

A school is selling tickets for a play. The tickets cost $8 each, and they also have a special deal where you can buy 3 tickets for $20. Write the equations in slope-intercept form for both pricing options. What do the slopes represent?

• y = 8x for regular tickets; y = (20/3)x for special deal tickets.

• y = 10x for regular tickets; y = (25/3)x for special deal tickets.

• y = 12x for regular tickets; y = (30/3)x for special deal tickets.

• y = 5x for regular tickets; y = (15/3)x for special deal tickets.

A delivery service charges a base fee of $5 plus $1.50 per mile. Write the equation in slope-intercept form for the total cost (C) based on the distance (d) in miles. Identify the slope and intercept.

• C = 3d + 2; Slope: 3, Intercept: 2

• C = 1.50d + 5; Slope: 1.50, Intercept: 5

• C = 1.50d + 10; Slope: 1.50, Intercept: 10

• C = 2d + 5; Slope: 2, Intercept: 5

A local farmer sells apples for $2 per pound and oranges for $3 per pound. If a customer buys a total of 15 pounds of fruit for $36, write a system of equations in slope-intercept form to represent the situation. What are the slopes of each equation?

• The slopes of the equations are -2 and -1/2.

• The slopes of the equations are 1 and 2/3.

• The slopes of the equations are 0 and 1.

• The slopes of the equations are -1 and -2/3.

A taxi company charges a flat rate of $4 plus $2 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m). What do the slope and intercept indicate?

• F = 4 + 2m

• F = 4m + 2

• F = 2m + 4

• F = 2m - 4

A subscription service charges $10 per month plus $0.50 per movie rented. Write the equation in slope-intercept form for the total cost (C) based on the number of movies (m) rented. Identify the slope and intercept.

• C = 0.50m + 5; Slope: 0.50, Intercept: 5

• C = 10m + 0.50; Slope: 10, Intercept: 0.50

• C = 0.75m + 5; Slope: 0.75, Intercept: 5

• C = 0.50m + 10; Slope: 0.50, Intercept: 10