Question

The distance, d, measured in miles, that Hye drove is d = 45.2t, where t is the time in hours.

What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answer 1

45.2 is the constant of proportionality.

Answer 2

45.2 is the constant of proportionality

Explanation:

Direct proportionality says that:

`y \propto x` then the equation is in the form of:

`y=kx`, where k is the constant of proportionality

As per the statement:

The distance, d, measured in miles, that Hye drove is

d = 45.2t, .....[1]

where,

t is the time in hours.

By definition of direct proportionality:

`d \propto t`

⇒
`d= kt`

On comparing with [1] we have;

k = 45.2

Therefore, the constant of proportionality is, 45,2