Question

The cost of a taxi fare (C) varies directly as the distance (D) traveled. When the distance i

84 km, the cost is $50.83. Find the cost when the distance is 198 km.

Answer 1

The cost of a taxi fare varies directly as the distance traveled. To find the cost when the distance is 198 km, we can set up a proportion and solve for the unknown cost using the given information. The cost is approximately $120.26 when the distance is 198 km.

Step-by-step explanation:

To solve this problem, we can use the concept of direct variation. In direct variation, two quantities are proportional to each other. In this case, the cost of the taxi fare (C) is directly proportional to the distance traveled (D). We can set up a proportion using the given information and solve for the unknown cost when the distance is 198 km.

First, let's write the proportion using a constant of variation (k):

C/D = k

Next, substitute the known values into the proportion:

50.83/84 = k

Solve for k:

k = 50.83/84

Now, we have the constant of variation, k. To find the cost when the distance is 198 km, we can use the proportion:

C/198 = k

Substitute the value of k:

C/198 = 50.83/84

Solve for C:

C = (50.83/84) * 198

Using a calculator, we find that the cost is approximately $120.26 when the distance is 198 km.