You are snow skiing down a mountain that is represented by the linear model y=–30x+6,000

Question

, where y
is the number of feet after x
seconds. Predict your elevation level in feet if you ski 60 seconds.

Answer 1

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

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

Now calculating the first part:

\[ -30 \times 60 = -1800 \]

Now substitute this back into the equation:

\[ y = -1800 + 6000 \]

Now, calculate the final value:

\[ y = 4200 \]

So, your elevation level after skiing for 60 seconds would be 4200 feet.