Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours.

Find the constant of proportionality and write an equation to describe the situation.

The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.

Answered by Tati9 | 2024-06-10

The constant of proportionality in this case is 12.5 mph. The equation to describe the situation is Distance = 12.5 x Time.
Constant of proportionality: To find the constant of proportionality, we can use the formula Distance = Speed x Time. We can calculate the constant by dividing the distance by the time for each scenario:
25 miles / 2 hours = 12.5 miles per hour (mph)
37.5 miles / 3 hours = 12.5 mph
50 miles / 4 hours = 12.5 mph
So, the constant of proportionality is 12.5 mph.
Equation: The equation to describe the situation is Distance = 12.5 x Time where Distance is measured in miles and Time is measured in hours.

Answered by YashBhattar | 2024-06-24

Phil rides his bike at a constant speed of 12.5 miles per hour. The equation that describes the distance he travels over time is y = 12.5x, where y is the distance and x is the time. This shows that the distance traveled is directly proportional to the time he spends biking.
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Answered by Tati9 | 2024-10-01