Question

The cost of an Uber fare varies directly as the distance traveled. When the distance is 60 km, the cost is $30. What is the variation constant, k?

a) 0.5
b) 1
c) 2
d) 0.1

Answer 1

The variation constant for the cost of an Uber fare varies directly with the distance traveled is $0.50/km.

Step-by-step explanation:

When two quantities vary directly, their relationship can be expressed using the formula:

y = kx

Where y is the dependent variable, x is the independent variable, and k is the variation constant.

In this case, the distance traveled (x) is the independent variable and the cost of the Uber fare (y) is the dependent variable. We are given that when the distance is 60 km, the cost is $30. We can plug these values into the equation:

$30 = k * 60 km

Solving for k, we divide both sides of the equation by 60 km:

k = $30 / 60 km = $0.50/km

Therefore, the variation constant, k, is $0.50/km. The correct answer is a) 0.5.