Question

Use the table to answer the question.

Let x
represent the time in minutes and let y
represent the distance in feet.

Time (Minutes), x


1 2 3 4
Distance (Feet), y


75 150 225 300
Use the table to create a formula for the given information.

(1 point)
Remaining Attempts : 3

Answer 1

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:

\[ y = 75x \]