Hours Miles Walked

Question

1/4 1
1/2 2
3/4 3
1 4
it takes julian 1/2 hours to walk 2 miles. he decides to start walking in his spare time, but because he wants to make sure he has enough time to go a desired distance he created a data table. at which ratio dose the consant of proportionality appear?
(a) 1, 1/4
(b) 1, 4
(c) 1/4 ,1
(d) 4,1

Answer 1

To find the constant of proportionality, we need to find the ratio of miles walked to hours walked.

For example, based on the given information, when Julian walks for 1/2 hour, he walks 2 miles. This means the ratio is:

2 miles / 1/2 hour = 4 miles/hour

We can find the ratio for the other given combinations as well:

1 mile / 1/4 hour = 4 miles/hour
3 miles / 3/4 hour = 4 miles/hour
4 miles / 1 hour = 4 miles/hour

As we can see, the ratio of miles to hours walked is always 4 miles/hour.

Therefore, the constant of proportionality appears at the ratio (c) 1/4, 1.