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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
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1 answer

To create a formula that relates distance (y) to time (x) based on the table provided, we can observe the relationship between the two variables.

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 time increases. Specifically, for each 1 minute increase in time, the distance increases by 75 feet.

From this, we can establish that the relationship is linear and can be expressed as:

\[ y = 75x \]

Thus, the formula relating distance (y) to time (x) is:

\[ y = 75x \]

This means that for every minute (x), the distance (y) is 75 feet.