Slope and Intercepts: Solving Real-World Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m). What does the slope represent in this context?

• C = 0.20m + 20; The slope (0.20) represents the cost per mile driven.

• C = 20m + 0.15; The slope (20) represents the total cost.

• C = 0.15m + 10; The slope (0.15) represents the flat fee.

• C = 0.15m + 20; The slope (0.15) represents the cost per mile driven.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A gardener is planting flowers in a straight line. The first flower is planted at the point (0, 2) and the second at (4, 10). Find the slope of the line that connects these two points and interpret what this slope means in the context of the garden.

• The slope of the line is 3.

• The slope of the line is 0.5.

• The slope of the line is 1.

• The slope of the line is 2.

Tags

CCSS.8.EE.B.5

A phone company offers a plan that costs $30 per month plus $0.05 per text message sent. Write the equation in point-slope form if you know that after 3 months, a customer has spent $60. What does the slope indicate about the cost of sending texts?

• y - 60 = 0.05(x - 3)

• y - 60 = 0.10(x - 3)

• y - 60 = 30(x - 3)

• y - 60 = 0.05(x + 3)

A student is saving money for a new laptop. They start with $100 and save $20 each week. Write the equation in slope-intercept form for the total savings (S) after w weeks. What does the slope tell you about the student's saving habits?

• S = 100 + 20w; The slope of 20 indicates the student saves $20 each week.

• S = 100 + 10w; The slope of 10 suggests the student saves $10 each week.

• S = 200 + 20w; The slope of 20 means the student saves $20 every two weeks.

• S = 100 - 20w; The slope of -20 indicates the student is losing money each week.

Tags

CCSS.HSF.LE.B.5

A taxi company charges a base fare of $3 plus $2 for every mile driven. Write the equation in standard form for the total fare (F) based on the number of miles (m). How does the slope of this equation relate to the cost per mile?

• F = 2m + 3

• F = 3m + 2

• F = 2m - 3

• F = 5m

Tags

CCSS.6.EE.C.9

A delivery service charges a flat fee of $5 plus $1.50 per package delivered. Write the equation in slope-intercept form for the total cost (C) based on the number of packages (p). What does the slope represent in this scenario?

• C = 1.50p + 5; The slope represents the cost per package delivered, which is $1.50.

• C = 5p + 1.50; The slope represents the total cost of delivery.

• C = 2p + 5; The slope represents the number of packages delivered.

• C = 1.50p + 10; The slope represents the flat fee charged.

Tags

CCSS.HSF.LE.B.5

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write the equation in standard form for the total cost (C) based on the number of students (s). How does the slope relate to the cost per student?

• C = 15s + 200

• C = 15s - 200

• C = 20s + 150

• C = 10s + 200

A bike rental shop charges a one-time fee of $10 and $2 for each hour rented. Write the equation in slope-intercept form for the total cost (C) based on the number of hours (h). What does the slope indicate about the rental cost?

• C = 10 - 2h; The slope indicates that the rental cost decreases by $2 for each hour rented.

• C = 10 + 2h; The slope indicates that the rental cost increases by $2 for each hour rented.

• C = 10 + 5h; The slope indicates that the rental cost increases by $5 for each hour rented.

• C = 2h; The slope indicates that there is no initial fee for renting a bike.

Tags

CCSS.HSF.LE.B.5

A concert venue has a seating capacity of 500 and sells tickets for $25 each. If the venue sells 200 tickets, write the equation in point-slope form for the total revenue (R) based on the number of tickets sold (t). What does the slope represent in this context?

• R - 5000 = 20(t - 200)

• R - 4000 = 25(t - 150)

• R - 6000 = 30(t - 200)

• R - 5000 = 25(t - 200)