Question

The equation that relates distance (d) and time (t) when biking 14 miles in 2 hours is:

a) d = 2t + 14
b) d = t - 7
c) d = 7t
d) d = 14/t

Answer 1

The correct equation that relates distance (d) and time (t) for biking 14 miles in 2 hours is c) d = 7t, representing a constant speed of 7 miles per hour.

Step-by-step explanation:

The student is asking for the equation that relates distance (d) and time (t) for a scenario where biking 14 miles takes 2 hours. This scenario is one of constant speed because the bicyclist is covering a fixed distance over a fixed amount of time.

To find the correct equation, we can start by calculating the speed, which is the ratio of the total distance to the total time. The speed is given by:

speed = distance/time

Substituting the given values:

speed = 14 miles / 2 hours = 7 miles/hour

Therefore, for every hour, the distance covered is 7 miles. To express distance as a function of time, we use:

d = vt

Where v is the speed and t is the time. Plugging in the speed value:

d = 7t

This gives us the relationship between the distance d in miles and time t in hours when biking at a constant speed. The correct answer is c) d = 7t.