Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by
where is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
Answer:
Step-by-step explanation:
We know that:
According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are and
, where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.
So, we calculate the slope:
From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is: