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)

Question

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 7,800 feet high.
After 60 seconds of skiing, you will be 7,800 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 4,200 feet high.
After 60 seconds of skiing, you will be 4,200 feet high.
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Answer 1

To predict your elevation level after skiing for 60 seconds using the linear model \( y = -30x + 6000 \):

1. Substitute \( x = 60 \) into the equation:

   \[ y = -30(60) + 6000 \]

2. Calculate \( -30(60) \):

   \[ -30(60) = -1800 \]

3. Now substitute that value back into the equation:

   \[ y = -1800 + 6000 \]

4. Calculate \( -1800 + 6000 \):

   \[ y = 4200 \]

So, after 60 seconds of skiing, you will be at an elevation of 4,200 feet.

The correct answer is: After 60 seconds of skiing, you will be 4,200 feet high.