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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 7,800 feet high.
After 60 seconds of skiing, you will be 7,800 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 5,820 feet high.

1 answer

To find the elevation level after skiing for 60 seconds using the linear model \( y = -30x + 6000 \), we substitute \( x = 60 \) into the equation:

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

Calculating this step-by-step:

  1. Calculate \(-30(60)\): \[ -30 \times 60 = -1800 \]

  2. Now plug this value back into the equation: \[ y = -1800 + 6000 \]

  3. Finally, calculate \(6000 - 1800\): \[ 6000 - 1800 = 4200 \]

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.