Question

In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.80 as soon as you get in the taxi, to which a charge of $1.70 per mile is added. Find an equation that can be used to determine the cost,C(x), of anx-mile taxi ride, and use this equation to find the cost of a 6-mile taxi ride.

a)C(x) = 2.80x + 1.70
b)C(x) = 2.80 + 1.70x
c)C(x) = 2.80 + 1.70/x
d)C(x) = 2.80x² + 1.70x

Answer 1

The correct equation to determine the cost of an x-mile taxi ride is C(x) = 2.80 + 1.70x. Using this equation, the cost of a 6-mile taxi ride would be $13.00.

Step-by-step explanation:

To determine the equation that can be used to calculate the cost, C(x), of an x-mile taxi ride, we need to take into account the fixed charge as well as the charge per mile. The fixed charge is $2.80 and does not change regardless of the distance traveled. The charge per mile is $1.70 and is multiplied by the number of miles, x. Therefore, the cost of the taxi ride is composed of the fixed charge plus the variable cost per mile times the number of miles traveled:

C(x) = 2.80 + 1.70x

To find the cost of a 6-mile taxi ride, we substitute x with 6:

C(6) = 2.80 + 1.70(6)
C(6) = 2.80 + 10.20
C(6) = $13.00

So, the cost of a 6-mile taxi ride is $13.00.