Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
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!