The initial fee for a taxi ride is $2.60

Question

Each mile traveled in a taxi costs an additional $2.50
Colton rode in a taxi to get to work. The total cost of his taxi ride was $9.60. Let x represent the number of miles Colton rode in the taxi.

Find the values for a, b, and c in the following equation:

ax + b = c

Answer 1

To find the values for a, b, and c, we can use the given information and equation.

Given that the initial fee for a taxi ride is $2.60, we can say that the cost for just the initial fee is b = $2.60.

Given that each mile traveled in a taxi costs an additional $2.50, we can say that the cost for each mile is a = $2.50.

Given that the total cost of Colton's taxi ride was $9.60 and x represents the number of miles Colton rode in the taxi, we can say that the total cost equation is:

ax + b = c

Substituting the known values, we have:

(2.50)x + 2.60 = 9.60

Simplifying the equation, we have:

2.50x + 2.60 = 9.60

Subtracting 2.60 from both sides, we have:

2.50x = 7.00

Dividing both sides by 2.50, we have:

x = 2.80

Therefore, the values for a, b, and c are:

a = $2.50
b = $2.60
c = $9.60