Slope-Intercept Form: Converting & Solving Challenges

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in slope-intercept form that models the total cost (y) based on the number of miles driven (x).

• y = 50x + 0.20

• y = 0.50x + 50

• y = 0.20x + 50

• y = 0.20x - 50

A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Convert the standard form equation y - 30 = 5x into slope-intercept form.

• y = 5x - 30

• y = 5x + 30

• y = 5x + 25

• y = 30x + 5

A school is selling tickets for a play. The tickets cost $10 each, and there is a $50 fee for the venue. Write the equation in slope-intercept form to represent the total revenue (y) based on the number of tickets sold (x).

• y = 10x + 50

• y = 50x - 10

• y = 10x

• y = 10x - 50

A phone company offers a plan that costs $40 per month plus $0.10 per text message. Convert the equation y - 40 = 0.10x into slope-intercept form.

• y = 0.10x + 50

• y = 0.10x + 40

• y = 0.10x - 40

• y = 40x + 0.10

A delivery service charges a base fee of $15 plus $2 for each mile driven. Write the equation in slope-intercept form that models the total charge (y) based on the distance (x) in miles.

• y = 2x - 15

• y = 15x + 2

• y = 15 + 2x^2

• y = 2x + 15

A farmer sells apples for $3 each and has a fixed cost of $100 for supplies. Convert the equation y - 100 = 3x into slope-intercept form.

• y = 3x - 100

• y = 3x + 100

• y = 3x + 50

• y = 100 - 3x

A concert venue has a fixed cost of $200 and charges $25 per ticket sold. Write the equation in slope-intercept form to model the total income (y) based on the number of tickets sold (x).

• y = 200x + 25

• y = 25x - 200

• y = 25x + 200

• y = 200 + 25x

A subscription service charges $10 per month plus a one-time fee of $20. Convert the equation y - 20 = 10x into slope-intercept form.

• y = 20x + 10

• y = 10x - 20

• y = 10x + 30

• y = 10x + 20

A taxi service charges a base fare of $3 plus $2 for each mile driven. Write the equation in slope-intercept form that models the total fare (y) based on the miles driven (x).

• y = 2x - 3

• y = 5x

• y = 3x + 2

• y = 2x + 3

A bookstore sells novels for $15 each and has a monthly rent of $200. Convert the equation y - 200 = 15x into slope-intercept form.

• y = 15x + 15

• y = 200 - 15x

• y = 15x + 200

• y = 15x - 200