Question

An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.

y=x/15
x=15y
y=15x

Answer 1

`y = 15x`

Explanation:

Given

`Rate = 15\ miles/hour`

`x = time`

`y = distance`

Required

Express in terms of y and x

The given rate is a ratio of distance to time.

So:

`Ratio = Distance/Time`

Substitute values for Distance and Time

`Ratio = y/x`

Substitute 15 for Ratio

`15 = y/x`

Cross Multiply

`y = 15x`

Hence: the situation is represented by
`y = 15x`