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Raina is driving to Las Vegas. Let \( y \) represent her distance from Las Vegas (in miles). Let \( x \) represent the time she has been driving (in hours). Suppose that \( x \) and \( y \) are related by the equation \( 425-65 x=y \). Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Raina's distance from Las Vegas for each hour she drives?

Ask by Hodgson Reese. in the United States
Mar 17,2025

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The change in Raina's distance from Las Vegas for each hour she drives is -65 miles per hour.

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The Deep Dive

For each hour Raina drives, her distance from Las Vegas decreases by 65 miles. This is derived from the equation \( y = 425 - 65x \), where the coefficient of \( x \) (which is -65) indicates that for every hour (increase in \( x \)), her distance \( y \) decreases by 65 miles. So, the change in distance per hour is -65 miles. This means Raina is making great progress towards Las Vegas, covering a significant distance each hour on her journey!

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