Mandy drives to work every day. The distance she travels is given by the equation d = 4.5t, where d is the distance traveled and t is the driving time. What is the constant of proportionality in terms of d to t?

Verified Answer :

AL2006

The constant is "4.5 miles per hour", or whatever the actual units are.

Answer:

The constant of proportionality in terms of d to t is 4.5.

Step-by-step explanation:

Since,

\(Distance = Speed\times Time\)

So, we can write,

Distance is directly proportional to time if speed is constant.

Here d represents distance and t represents time,

\(\implies d\propto t\)

\(\implies d=kt\)

Where k is the constant of proportionality,

We have given,

d = 4.5t

By comparing k = 4.5,

Hence, the constant of proportionality in terms of d to t is 4.5.