Use the image to answer the question.

A coordinate plane's axes range from 0 to 50, both by 10-unit increments. A diagonal line is plotted.

Sal is draining his 25-gallon fish tank at approximately half a gallon per minute and graphed the situation. Is the scale reasonable for this graph? Enter 1 for yes or 2 for no.

1 answer

To determine whether the scale is reasonable for Sal draining his 25-gallon fish tank at half a gallon per minute, we can analyze how long it would take to drain the tank and what that would look like on the provided graph.

  1. Time to drain the tank: Since Sal is draining the tank at half a gallon per minute, we calculate the total time required to drain 25 gallons: \[ \text{Time} = \frac{25 \text{ gallons}}{0.5 \text{ gallons/minute}} = 50 \text{ minutes} \]

  2. Graph scale: The axes of the graph range from 0 to 50, with 10-unit increments. This means that it can adequately display time from 0 to 50 minutes on the horizontal axis, and if the vertical axis also represents gallons drained, it will range from 0 to 25 gallons, which is well within the limits of the graph.

Given that the graph can show a time of 50 minutes and up to 25 gallons drained, which corresponds perfectly with Sal’s situation, the scale is indeed reasonable for this graph.

Based on this analysis, the answer is 1 (yes); the scale is reasonable.

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