Rama is divnty 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 merease, 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? $$ \square $$ mites What was Rama's distance fom Las Vegas when she began her drive? $$ \square $$ mites

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UpStudy AI · Accepted Answer

1. The equation relating the time $$x$$ (in hours) and the distance $$y$$ (in miles) is given by  
   $$
   425 - 65x = y
   $$

2. The coefficient of $$x$$ in the equation is $$-65$$. This coefficient represents the change in the distance from Las Vegas for each hour she drives. Because the number is negative, it indicates a decrease.  
   Therefore, the change in distance per hour is:  
   $$
   -65 \text{ miles per hour}
   $$

3. To find Rama's distance from Las Vegas when she began her drive, substitute $$x=0$$ into the equation:
   $$
   y = 425 - 65(0)
   $$
   $$
   y = 425
   $$
   Thus, her starting distance is:  
   $$
   425 \text{ miles}
   $$
The change in Rama's distance from Las Vegas each hour is -65 miles. When she started her drive, she was 425 miles away from Las Vegas.

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