It takes Julian 12 hour 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 the data table. At which ratio does the constant of proportionality appear?
(1 point)
Responses
(1/4, 1)
left parenthesis Start Fraction 1 over 4 End Fraction comma 1 right parenthesis.
(1, 1/4)
left parenthesis 1 comma Start Fraction 1 over 4 End Fraction right parenthesis.
(4, 1)
left parenthesis 4 comma 1 right parenthesis.
(1, 4)
The ratio of the constant of proportionality appears in the option: (1/4, 1)
The ratio at which the constant of proportionality appears is (1/4, 1), option A.
In order to determine the ratio at which the constant of proportionality appears in the given data table, we need to analyze the relationship between the two variables: time and distance.
From the information provided, we know that Julian takes 12 hours to walk 2 miles. Therefore, we can set up a proportion:
time / distance = constant
Let's calculate the constant of proportionality using the given data:
12 hours / 2 miles = constant
The constant is equal to 6. So, the ratio at which the constant of proportionality appears is:
(1, 4)
This means that for every 1 unit of time, the distance increases by 4 units.