Write an equation for the realartionship. Tell what the variables represent.
It takes Li 1 hour to drive 65 miles, 2 hours to dirve 130 miles, and 3 hours to drive 195 miles.
Speed = 65 miles per hour
y=65x
To find the equation for the relationship between the time Li takes to drive and the distance she travels, we need to identify the variables involved.
Let's denote:
- t as the time taken by Li to drive in hours
- d as the distance Li travels in miles
Now, we can examine the given information to establish the relationship. We have:
- When t = 1 hour, d = 65 miles
- When t = 2 hours, d = 130 miles
- When t = 3 hours, d = 195 miles
From the data, we can observe that the distance Li travels is directly proportional to the time taken. This means that for every 1-hour increase in time, Li drives an additional 65 miles.
Using this information, we can set up the equation. Since the ratio of distance to time remains constant:
d/t = 65/1
Simplifying further:
d = 65t
The equation d = 65t represents the relationship between the distance Li travels and the time taken, where d represents the distance in miles and t represents the time in hours.