Question

What’s the constant of proportionality in this story?

For four hours I drove an average of about 60mph and made it 240 miles. i don't understand

Answer 1

60 mph means:

60 miles in 1 hour

×4 ×4

240 miles in 4 hours

You need to multiply both by the same number, so it is proportional.

Answer 2

9514 1404 393

Answer:

60 mph, or 4 h

Explanation:

In the relationship between distance, speed, and time, we find that distance is jointly proportional to speed and time. That means, the equation of proportionality can be written two ways:

distance = speed × time

distance = (60 mph) × time . . . . . 60 mph is the constant of proportionality

or ...

distance = time × speed

distance = (4 h) × speed . . . . . 4 h is the constant of proportionality

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Usually, we take time to be the independent variable, so the first version applies. However, the second version is also a legitimate answer.