Question

Mr. Jones jogs the same route each day. The amount of time he jogs is

inversely proportional to his jogging rate.
What option gives possible rates and times for two of his jogs?
O 4 mph for 2 hours and 3 mph for 3 hours
O 4 mph for 3 hours and 6 mph for 2 hours
O 3 mph for 2 hours and 4.5 mph for 3 hours
о
4 mph for 3 hours and 6 mph for 4.5 hours

Answer 1

The correct option is 4 mph for 3 hours and 6 mph for 2 hours as it follows the inverse proportionality of time and jogging rate.

Step-by-step explanation:

The amount of time Mr. Jones jogs is inversely proportional to his jog rate. This means that as his jogging rate increases, the amount of time he jogs decreases proportionally, and vice versa. Let's go through the options to determine which one gives possible rates and times for two of his jogs:

1. 4 mph for 2 hours and 3 mph for 3 hours: If the jogging rate decreases from 4 mph to 3 mph, the time spent jogging would increase. This doesn't follow the inverse proportionality, so this option is not correct.
2. 4 mph for 3 hours and 6 mph for 2 hours: In this case, the jogging rate increases from 4 mph to 6 mph, so the time spent jogging decreases. This follows the inverse proportionality, so this option is correct.
3. 3 mph for 2 hours and 4.5 mph for 3 hours: Again, the jogging rate increases from 3 mph to 4.5 mph, so the time spent jogging should decrease. This option also follows the inverse proportionality and is correct.
4. 4 mph for 3 hours and 6 mph for 4.5 hours: In this case, the jogging rate increases from 4 mph to 6 mph, so the time spent jogging should decrease. However, the times given are inconsistent with the inverse proportionality, so this option is not correct.

Based on the analysis, the correct option is 4 mph for 3 hours and 6 mph for 2 hours as it follows the inverse proportionality of time and jogging rate.