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Answer:
Step-by-step explanation:
In this problem, the initial area of the forest at time t = 0 is
After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.
So for instance, after 1 year, the area is
After 2 years,
And so on. So, after t years, the area of the forest will be
And by substituting the value of A0, we can find an explicit expression:
Answer:
y =
Step-by-step explanation:
We are given the point (3, 10).
The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).
Our formula for slope is m = =
So, our equation would be =
Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.
y = + b
Now, we can substitute a point on the line to determine the y-intercept:
Using the point (3, 10),
10 = + b
b = 10 +
b =
So our full equation is: y =