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Question
You are snow skiing down a mountain that is represented by the linear model y=–30x+6,000 , where y is the number of feet after x seconds. Predict your elevation level in feet if you ski 60 seconds. (1 point)
Responses
After 60 seconds of skiing, you will be 5,820 feet high.
After 60 seconds of skiing, you will be 5,820 feet high.
After 60 seconds of skiing, you will be 4,200 feet high.
After 60 seconds of skiing, you will be 4,200 feet high.
After 60 seconds of skiing, you will be 6,030 feet high.
After 60 seconds of skiing, you will be 6,030 feet high.
After 60 seconds of skiing, you will be 7,800 feet high.
After 60 seconds of skiing, you will be 7,800 feet high.
1 answer
To predict the elevation level after 60 seconds of skiing, we can use the given linear model:
\[ y = -30x + 6000 \]
where \( y \) is the elevation in feet and \( x \) is the time in seconds.
Substituting \( x = 60 \) into the equation:
\[ y = -30(60) + 6000 \] \[ y = -1800 + 6000 \] \[ y = 4200 \]
So, after 60 seconds of skiing, you will be 4,200 feet high.
The correct response is: After 60 seconds of skiing, you will be 4,200 feet high.
