Question

Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. At what distance, in miles, will the cost be the same for both companies?

a) 4 miles
b) 6 miles
c) 5 miles
d) 7 miles

Answer 1

The cost will be the same for both Bert's cab company and Madeline's cab company at a distance of 2 miles.

Step-by-step explanation:

To find the distance at which the cost will be the same for both companies, we need to set up an equation where the total cost for each company is equal. Let x represent the distance in miles.

For Bert’s cab company, the cost is $1.00 plus $3.00 per mile, which can be expressed as 1 + 3x.

For Madeline’s cab company, the cost is $3.00 plus $2.00 per mile, which can be expressed as 3 + 2x.

Setting these two expressions equal to each other gives us the equation 1 + 3x = 3 + 2x.

Simplifying the equation, we get x = 2.

Therefore, at a distance of 2 miles, the cost will be the same for both companies.