The equation y = 7/2

x describes the number of inches y that a snail travels in x minutes. How does y change as x​ changes? Describe what the change means in this situation.

1 answer

The equation y = 7/2 represents a linear equation in slope-intercept form, where the slope is 7/2. This means that for every increase in x by 1 unit, y will increase by 7/2 units.

In this situation, as x changes (increases or decreases), y will also change proportionally. For every additional minute the snail travels, it will cover 7/2 inches. Similarly, for every minute less the snail travels, it will cover 7/2 inches less.

So, the change in y as x changes is a constant increase of 7/2 units per minute. This means that the snail is moving at a constant speed of 7/2 inches per minute.
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