The linear equation that describes the number of miles Emma rides, y , in terms of the number of minutes, x , she rides is y = 3x
How to determine the linear equation that describes the situation
From the question, we have the following parameters that can be used in our computation:
Time (hours) Miles
1 3
2 6
4 12
6 18
From the above, we can see that
As x increases by 1, the value of y increases by 3
This means that the slope of the relation is 3
A linear relation is represented as
y = mx + c
So, we have
y = 3x + c
Using the points on the table, we have
6 = 3 * 2 + c
c = 0
So, we have
y = 3x
Hence, the linear equation is y = 3x
Question
Write the linear equation that describes the number of miles Emma rides, y , in terms of the number of minutes, x , she rides.
Time (hours) Miles
1 3
2 6
4 12
6 18