Question

Bethany walked d miles in h hours. she use the equation d=3.75h to find her distance after any number of hours. what is the constant of proportionality between d and h

Answer 1

The constant of proportionality in the equation d = 3.75h, which relates distance and time, is 3.75. It indicates the number of miles Bethany walks per hour.

Step-by-step explanation:

The student's question revolves around understanding the constant of proportionality in the equation d = 3.75h. In this equation, d represents the distance Bethany walked in miles, and h represents the time in hours. The constant of proportionality is the coefficient of h in the equation, which is 3.75. This means that for every hour Bethany walks, she covers 3.75 miles. The constant of proportionality is a fixed value that relates the two proportional quantities, distance and time, and it indicates the rate at which distance is covered per unit of time.

Answer 2

The constant of proportionality between distance (d) and time (h) in this case is 3.75. The equation d = 3.75h represents a direct variation, where the distance is directly proportional to the time. For every hour increase in time, the distance covered will increase by 3.75 miles.

Step-by-step explanation:

The constant of proportionality between distance (d) and time (h) in this case is 3.75. The equation d = 3.75h represents a direct variation, where the distance is directly proportional to the time. This means that for every hour increase in time, the distance covered will increase by 3.75 miles. For example, if Bethany walked for 2 hours, the distance covered would be 3.75 x 2 = 7.5 miles.