Answer:
After 15 minutes, the temperature of both the furnaces will be same.
Step-by-step explanation:
Let
be the minutes when the temperature of both becomes same.
Now, as per question:
Temperature of the furnace after
minutes that is cooling at the rate of 15 degree per minute is given as:

Temperature of the furnace after
minutes that is heating at the rate of 5 degree per minute is given as:

Now, equating both the temperatures, we get

Therefore, after 15 minutes, the temperature of both the furnaces will be same.
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.
So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02
Now, the equation became:
g(x) = 0.02 / x
We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
Given:

First, let us find two points from this equation.
We can set values of x and then solve for y.
Let us find the values of y when x = 1, 2, 3, 4, 5

We now have a set of points:
(1, 21)
(2, 16)
(3, 11)
(4, 6)
(5, 1)
Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)
The graph would then look like this: