Question

1. a taxi company charges a $5 initial fee and $2 per mile. which equation models the total cost c for x miles?

a. c = 5x + 2
b. c = 2x - 5
c. c = 3x + 5
d. c = 2x + 5

1. a farmer sells eggs for $2.50 per dozen. which equation represents the total revenue (r) from selling a dozen eggs?

a. r = 2.50 + 5x
b. r = 2.50x
c. r = 5x
d. r = 5 + 2.50x

1. if a book costs $12 per book and the shipping cost is $3, what is the total cost t for b books?

a. t = 15b
b. t = 12b + 3
c. t = 12b
d. t = 3b - 12

Explanation:

Step1: Taxi cost equation

Total cost = initial fee + per-mile cost × miles → \( C = 5 + 2m \)

Step2: Egg revenue equation

Total revenue = price per dozen × number of dozens → \( R = 2.50d \)

Step3: Book total cost equation

Total cost = book cost × number + shipping → \( T = 12b + 3 \)

Answer:

d. \( C = 2m + 5 \)
b. \( R = 2.50d \)
b. \( T = 12b + 3 \)