Question
Goran is driving to Seattle. Let \( y \) represent his distance from Seattle (in miles). Let \( x \) represent the time he has been driving (in hours). Suppose that \( x \) and are related by the equation \( y=-65 x+475 \). 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 was Goran's distance from Seattle when he began his drive? What is the change in Goran's distance from Seattle for each hour he drives? miles ? mile
Ask by Knight Carter. in the United States
Mar 17,2025
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Answer
When Goran started his drive, he was 475 miles from Seattle. Each hour he drives, his distance from Seattle decreases by 65 miles.
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Goran's distance from Seattle when he began his drive can be found by substituting \( x = 0 \) into the equation \( y = -65x + 475 \). This gives us \( y = -65(0) + 475 = 475 \) miles. So, he started 475 miles away from Seattle. The change in Goran's distance from Seattle for each hour he drives is represented by the coefficient of \( x \) in the equation, which is -65. This means for every hour he drives, he decreases his distance from Seattle by 65 miles.