Understanding Point-Slope in Real-World Scenarios

A car rental company charges a flat fee of $50 plus $20 for each day the car is rented. Write the point-slope equation for the total cost (C) in terms of the number of days (d) rented. What does the slope represent in this context?

• C - 50 = 20(d - 0) and the slope is 20.

• C = 20d + 50 and the slope is 50.

• C - 50 = 15(d - 0) and the slope is 15.

• C - 50 = 25(d - 0) and the slope is 25.

A gardener charges $15 for a consultation and $25 for each hour of work. Write the point-slope equation for the total cost (C) based on hours worked (h). What does the slope indicate?

• C - 15 = 15(h - 0)

• C = 25h + 15

• C - 25 = 15(h - 1)

• C - 15 = 25(h - 0)

A phone plan costs $40 per month plus $0.10 for each minute used. Write the point-slope equation for the total bill (B) based on minutes used (m). How would you interpret the slope?

• B = 40 + 0.10m

• B - 40 = 0.05(m - 0)

• B - 40 = 0.10(m - 0)

• B - 40 = 0.10(m - 10)

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the point-slope equation for the total cost (C) in terms of miles (m). What does the slope represent?

• C = 2m + 5 and the slope represents the total cost.

• C - 5 = 2(m - 0) and the slope represents the cost per mile driven.

• C - 5 = 2(m - 1) and the slope represents the base fee.

• C - 5 = 3(m - 0) and the slope represents the total distance driven.

A school charges $200 for a field trip plus $15 for each student attending. Write the point-slope equation for the total cost (C) based on the number of students (s). What does the slope mean in this scenario?

• C = 150 + 15s; slope = 15 (base cost)

• C = 200 + 20s; slope = 20 (total cost)

• C = 200 + 15s; slope = 15 (cost per student)

• C = 200 + 10s; slope = 10 (cost per student)

A concert ticket costs $50 and an additional $10 for each VIP package. Write the point-slope equation for the total cost (C) based on the number of VIP packages (p). Interpret the slope in this context.

• C = 50 + 5p

• C = 10 + 50p

• C = 50p + 10

• C = 50 + 10p

A taxi service charges a flat rate of $3 plus $2 for each mile driven. Write the point-slope equation for the total fare (F) based on miles (m). What does the slope tell you?

• F = 2m + 5

• F - 3 = 1(m - 0)

• F - 3 = 2(m - 0)

• F - 3 = 3(m - 0)

A subscription service charges $10 per month plus $5 for each additional feature. Write the point-slope equation for the total cost (C) based on the number of features (f). How do you interpret the slope?

• C - 10 = 10(f - 0)

• C = 5f + 10

• C - 5 = 10(f - 0)

• C - 10 = 5(f - 0)

A local bakery sells cakes for $20 each and charges a delivery fee of $5. Write the point-slope equation for the total cost (C) based on the number of cakes (c). What does the slope represent in this situation?

• C - 5 = 20(c - 0); slope = 20

• C - 5 = 15(c - 0); slope = 15

• C - 5 = 25(c - 0); slope = 25

• C - 5 = 20(c - 1); slope = 20