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.'

options:

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

Answer 1

To find the elevation level in feet after skiing for 60 seconds using the linear model \( y = -30x + 6000 \), you can substitute \( x = 60 \) into the equation.

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

Calculating this:

\[
y = -1800 + 6000
\]
\[
y = 4200
\]

So, after 60 seconds of skiing, you will be **4,200 feet high**.

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