Question

4.

Ashley and Oscar were looking at the proportional
relationship in this table.
Time
Distance
Ashley says the
constant of
proportionality is 540.
1 hour
540 miles
Oscar says the constant
of proportionality is 9.
1 hour
36 minutes
864 miles
Do you agree with either
of them?
42 minutes
378 miles
Explain your thinking.

Answer 1

Oscar is correct

Explanation:

Oscar is correct.

Convert the hours into minutes (its a lot easier this way)

So in 60 mins, the distance is 540 miles. In 96 minutes, the distance is 864 miles etc.

To find the proportionality, you divide the distance by the time. So 540/6 = 9 and 864/96 = 9.

Hence, there is a common ratio of 9