Question

There are 0.6 miles in one kilometer. If x presents the number of kilometers, then y is the number of miles. Find an equation of a line in the form y = mx that describes this relationship between these units.

a) y = 0.6x
b) y = 1.67x
c) y = 0.4x
d) y = 1.2x

Answer 1

The correct equation representing the relationship between kilometers and miles, where 0.6 miles is equivalent to one kilometer, is y = 0.6x, depicting a direct linear relationship.

Step-by-step explanation:

If there are 0.6 miles in one kilometer, we have the direct proportionality of miles to kilometers, which is the relationship we want to represent in the equation form y = mx. The value of m represents the conversion factor from kilometers to miles, which is given as 0.6. Therefore, the correct equation that describes this relationship is y = 0.6x.

For every kilometer (x), there will be 0.6 of a mile (y). To depict this as a linear equation, simply multiply the number of kilometers by the conversion factor (0.6) to find the equivalent number of miles. Hence, option a) y = 0.6x correctly defines the linear relationship between kilometers and miles.