Mastering Slope-Intercept: Identify & Convert Equations

A local gym has a membership fee of $30 per month. If a member also pays a one-time registration fee of $100, express the total cost as a linear equation in slope-intercept form. What are the slope and intercept?

• Slope: 0, Intercept: 100

• Slope: 30, Intercept: 0

• Slope: 30, Intercept: 100

• Slope: 100, Intercept: 30

A delivery service charges a base fee of $15 plus $2 for each mile driven. Convert this equation from standard form to slope-intercept form and identify the slope and intercept.

• Slope: 2, Y-intercept: 10

• Slope: 0, Y-intercept: 15

• Slope: 2, Y-intercept: 15

• Slope: 15, Y-intercept: 2

A school is planning a fundraiser. They will earn $5 for each ticket sold, plus a $200 initial donation. Write the equation in slope-intercept form and identify the slope and y-intercept.

• y = 5x + 200; slope = 5, y-intercept = 200

• y = 5x + 300; slope = 5, y-intercept = 300

• y = 5x + 100; slope = 5, y-intercept = 100

• y = 10x + 200; slope = 10, y-intercept = 200

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation in slope-intercept form and determine the slope and intercept.

• Slope: 0.15, Intercept: 20

• Slope: 0.05, Intercept: 30

• Slope: 0.10, Intercept: 25

• Slope: 0.25, Intercept: 10

A gardener charges a flat fee of $50 for a service plus $15 per hour of work. Convert this to slope-intercept form and identify the slope and intercept.

• Slope: 15, Intercept: 25

• Slope: 50, Intercept: 15

• Slope: 15, Intercept: 50

• Slope: 10, Intercept: 50

A taxi company charges a base fare of $3 plus $1.50 per mile. Write the equation in slope-intercept form and identify the slope and intercept.

• y = 1.5x + 1; slope = 1.5, intercept = 1

• y = 3x + 1.5; slope = 3, intercept = 1.5

• y = 1.5x + 3; slope = 1.5, intercept = 3

• y = 2x + 3; slope = 2, intercept = 3

A subscription box service charges $10 per month plus a one-time fee of $25. Convert this to slope-intercept form and identify the slope and intercept.

• Slope: 25, Intercept: 10

• Slope: 5, Intercept: 30

• Slope: 15, Intercept: 20

• Slope: 10, Intercept: 25

A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for supplies. Write the equation in slope-intercept form and identify the slope and intercept.

• y = 4x + 20; slope = 4, intercept = 20

• y = 2x + 20; slope = 2, intercept = 20

• y = 3x + 15; slope = 3, intercept = 15

• y = 3x + 20; slope = 3, intercept = 20

A concert venue charges $50 for a ticket plus $5 for each additional item purchased. Convert this to slope-intercept form and identify the slope and intercept.

• y = 10x + 50; slope = 10, intercept = 50

• y = 5x + 50; slope = 5, intercept = 50

• y = 5x + 75; slope = 5, intercept = 75

• y = 5x + 25; slope = 5, intercept = 25