Exploring Slope Intercept Form in Real-World Contexts

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and identify the slope. What does the slope represent in this context?

• C = 25 + 0.15m; slope = 0.15, representing the initial charge.

• C = 20 + 0.15m; slope = 0.15, representing the cost per mile.

• C = 20 + 0.10m; slope = 0.10, representing the total cost.

• C = 15 + 0.20m; slope = 0.20, representing the base fee.

A gym membership costs $30 per month plus a one-time fee of $50. Write the equation in slope-intercept form and graph it. What does the slope indicate about the cost of the membership?

• C = 30m + 100; Slope = 30, indicating a $30 increase every two months.

• C = 50m + 30; Slope = 50, indicating a $50 increase per month.

• C = 30m + 50; Slope = 30, indicating a $30 increase per month.

• C = 30m; Slope = 0, indicating no increase in cost over time.

A phone plan charges a base fee of $25 and an additional $0.10 per text message sent. Write the equation in slope-intercept form. How would you interpret the slope in this scenario?

• y = 0.10x - 25

• y = 0.10x + 25

• y = 0.25x + 25

• y = 25x + 0.10

A delivery service charges a $5 fee plus $2 per mile driven. Write the equation in slope-intercept form and graph it. What does the slope tell you about the cost per mile?

• The equation is y = 2x + 10; the slope indicates the cost per mile is $10.

• The equation is y = 2x + 5; the slope indicates the cost per mile is $2.

• The equation is y = 5x + 2; the slope indicates the cost per mile is $5.

• The equation is y = 3x + 5; the slope indicates the cost per mile is $3.

A school is selling tickets for a play at $10 each, with a fixed cost of $50 for the venue. Write the equation in slope-intercept form. What does the slope represent in this situation?

• y = 10x + 10; the slope represents the fixed cost of the venue.

• y = 10x - 50; the slope represents the total cost of the venue.

• y = 50x + 10; the slope represents the number of tickets sold.

• y = 10x + 50; the slope represents the revenue gained per ticket sold.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A subscription service charges $15 per month with a one-time setup fee of $25. Write the equation in slope-intercept form. How does the slope relate to the monthly cost?

• C = 15m; the slope (15) represents the total cost.

• C = 25m + 15; the slope (25) represents the setup fee.

• C = 15m + 25; the slope (15) represents the monthly cost.

• C = 10m + 25; the slope (10) represents the monthly cost.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A landscaping company charges a flat fee of $50 plus $30 per hour of work. Write the equation in slope-intercept form and interpret the slope. What does it mean in this context?

• C = 30h + 20; Slope = 20, meaning the cost increases by $20 for each additional hour of work.

• C = 50h + 30; Slope = 50, meaning the cost increases by $50 for each additional hour of work.

• C = 30h + 50; Slope = 50, meaning the cost increases by $50 for each additional hour of work.

• C = 30h + 50; Slope = 30, meaning the cost increases by $30 for each additional hour of work.

Tags

CCSS.HSF.LE.B.5

A concert ticket costs $40 plus a $10 service fee. Write the equation in slope-intercept form and graph it. What does the slope indicate about the ticket pricing?

• The equation in slope-intercept form is C = 10x + 40, with a slope of 10.

• The equation in slope-intercept form is C = 40x + 40, with a slope of 0.

• The equation in slope-intercept form is C = 50x + 10, with a slope of 50.

• The equation in slope-intercept form is C = 40x + 10, with a slope of 40.