The initial fee for a taxi ride is $2.60
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
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