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. $c = 3x + 5$
c. $c = 2x + 5$
d. $c = 2x - 5$

Explanation:

Step1: Identify fixed and variable costs

Fixed cost = $5, variable cost = $2 per mile

Step2: Form total cost equation

Total cost = fixed cost + (variable cost × miles) → \( C = 5 + 2x \)

Step3: Match with options

Rearranged: \( C = 2x + 5 \) (matches option c)

Answer:

c. \( C = 2x + 5 \)