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. After 60 seconds of skiing, you will be 6,030 feet high.
2. After 60 seconds of skiing, you will be 5,820 feet high.
3. After 60 seconds of skiing, you will be 4,200 feet high.
4. After 60 seconds of skiing, you will be 7,800 feet high.
2. After 60 seconds of skiing, you will be 5,820 feet high.
Explanation:
We can use the given formula y = -30x + 6,000 to find the elevation level after skiing for 60 seconds.
Substitute x = 60 in the formula:
y = -30(60) + 6,000
y = -1,800 + 6,000
y = 4,200
Therefore, after skiing for 60 seconds, the elevation level will be 4,200 feet.
Option 3 is incorrect because it gives the same answer that we would have gotten if we had substituted x = 140 in the formula (which is beyond the scope of the given problem).
Option 1 and 4 are incorrect because they are too far from the correct answer and do not follow the linear model.