Question

"The fee for taking a cab is represented by the equation f = rm + b, where:

• F equals the fee,
• R equals the rate per mile,
• M equals miles traveled, and
• B equals the boarding fee.

A passenger paid a fee of $46 for a cab ride. The rate per mile was $4, and the boarding fee was $2. How many miles did the passenger travel? Show your work and explain the process you used to arrive at your answer."

Answer 1

The passenger traveled 11 miles.

Step-by-step explanation:

The fee for taking a cab is represented by the equation f = rm + b, where:

• 
  
• 
  
• 
  
• 
  
• 
  

To find the number of miles traveled by the passenger, we can substitute the given values into the equation. We are told that the fee is $46, the rate per mile is $4, and the boarding fee is $2. Plugging these values into the equation gives us:

f = ($4)(m) + $2

$46 = ($4)(m) + $2

Solving for m, we can subtract $2 from both sides:

$46 - $2 = ($4)(m)

$44 = ($4)(m)

Dividing both sides by $4 gives us:

m = $44/$4

m = 11

Therefore, the passenger traveled 11 miles.