Consider the points.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
After graphing the function f(x) = we can see that the correct graph is the middle one in the picture. This is because with an x-input of 1 the value of 1/2 will stay the same and when multiplied by 4 it would give us a y-coordinate of 2 as seen in the middle graph. The y-coordinate keeps decreasing exponentially by half for every increase in the x-coordinate. A zoomed-in version of the graph can be seen in the attached picture below for a better understanding.
Use Law of Cooling:
T0 = initial temperature, TA = ambient or final temperature
First solve for k using given info, T(3) = 42
Substituting k back into cooling equation gives:
At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
Solve for x:
Sub back into original cooling equation, x = T(t)
Solve for t:
This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
T0 = initial temperature, TA = ambient or final temperature
First solve for k using given info, T(3) = 42
Substituting k back into cooling equation gives:
At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
Solve for x:
Sub back into original cooling equation, x = T(t)
Solve for t:
This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM