To create a formula using the information from the table, we first observe the relationship between the time (x) in minutes and the distance (y) in feet.
From the table:
- When \( x = 1 \), \( y = 75 \)
- When \( x = 2 \), \( y = 150 \)
- When \( x = 3 \), \( y = 225 \)
- When \( x = 4 \), \( y = 300 \)
We can see that the distance increases linearly as the time increases. Each time interval of 1 minute corresponds to an increase of 75 feet in distance.
To find the formula, observe that the relationship between x and y can be represented as:
\[ y = kx \]
where \( k \) is the rate of change (the slope). We see that when \( x = 1 \), \( y = 75 \), so:
\[ k = 75 \]
Now, we can plug this value into the formula:
\[ y = 75x \]
Thus, the formula relating time and distance is:
\[ y = 75x \]