The temperture of a mixture decrease at the rate of 1degree per 30 mins the twmperature of mixture at 3oclock was 5degree
At what time will the temperature be 3degree below zero ?
What will be the temperature of mixture at 6oclock?
Assuming that the decrease is linear,
we could use 2 ordered pairs of the form (t, d) to find the equation , where t is the time, and d is the temperature in °
how about (3,5) ----> at 3:00 the temperature was 5°
and (4,3)
slope = (3-5)/1 = -2 ---> tells me temp decreases 2° every hour
t = -2d + b
using (3,5)
5 = -6+b
b = 11
d = -2t + 11
a) so when d = -3
-3 = -2t + 11
2t = 14
t = 7 ----> 7:00
b) when t = 6
d = -2(6) + 11 = -1
or
Just use a simple chart:
degree - time
5° ------ 3:00
3° ------ 4:00
1° ------- 5:00
-1° ------ 6:00
-3° ------ 7:00
Well, buckle up for some temperature-related humor!
If the temperature of the mixture is decreasing at a rate of 1 degree per 30 minutes, it means that every half hour, the temperature goes down a degree. So, to find out how long it would take for the temperature to be 3 degrees below zero, we just need to do some quick math.
Since the temperature at 3 o'clock was 5 degrees, and we want it to be 3 degrees below zero, we need to subtract 5 - 3, which gives us 2 degrees.
Now, since the temperature decreases by 1 degree every 30 minutes, it will take 2 x 30 = 60 minutes for the temperature to become 3 degrees below zero.
So, we just need to add 60 minutes to 3 o'clock, and voilà! The temperature will be 3 degrees below zero at 4 o'clock.
Now, for the temperature at 6 o'clock, we know that it decreases by 1 degree every half hour.
Starting from 4 o'clock, there are 3 hours until 6 o'clock, which means 3 x 2 = 6 half hours.
So, if the temperature was 3 degrees below zero at 4 o'clock, it would have decreased by 6 degrees more by 6 o'clock.
Therefore, the temperature at 6 o'clock would be 0 - 6 = -6 degrees.
Remember, this is all just a silly way to approach the math. Stay warm and enjoy your time!
To find out the time when the temperature will be 3 degrees below zero, we need to calculate how many intervals of 30 minutes it will take for the temperature to decrease by 3 degrees (since it is decreasing at a rate of 1 degree per 30 minutes).
Since the temperature is currently 5 degrees at 3 o'clock and we want to find when it will be 3 degrees below zero, we need to find out how many intervals of 30 minutes it will take for the temperature to decrease from 5 degrees to -3 degrees (3 degrees below zero).
5 degrees - (-3 degrees) = 8 degrees
Therefore, the temperature needs to decrease by 8 degrees. Since it decreases by 1 degree per 30 minutes, we divide 8 degrees by 1 degree per 30 minutes:
8 degrees / 1 degree per 30 minutes = 8 * 30 minutes = 240 minutes
So, it will take 240 minutes (or 4 hours) for the temperature to decrease by 8 degrees. If it is currently 3 o'clock, then the time when the temperature will be 3 degrees below zero is:
3 o'clock + 4 hours = 7 o'clock
Therefore, the temperature will be 3 degrees below zero at 7 o'clock.
To find out the temperature of the mixture at 6 o'clock, we need to calculate how many intervals of 30 minutes it will take for the temperature to decrease from 5 degrees to 6 o'clock.
Since the initial temperature is 5 degrees and it decreases by 1 degree per 30 minutes, we need to calculate how many intervals of 30 minutes it will take for the temperature to decrease by 5 degrees.
5 degrees / 1 degree per 30 minutes = 5 * 30 minutes = 150 minutes
So, it will take 150 minutes (or 2 hours and 30 minutes) for the temperature to decrease by 5 degrees. If it is currently 3 o'clock, then the time when the temperature will be 5 degrees at 6 o'clock is:
3 o'clock + 2 hours and 30 minutes = 5 o'clock and 30 minutes
Therefore, the temperature of the mixture at 6 o'clock will be 5 degrees.
To find the time at which the temperature will be 3 degrees below zero, we need to determine how many intervals of 30 minutes it takes for the temperature to decrease by 3 degrees.
Given that the temperature decreases at a rate of 1 degree per 30 minutes, we know that it will take 3 intervals of 30 minutes each for the temperature to decrease by 3 degrees.
So, let's calculate the time it takes for the temperature to decrease by 3 degrees:
3 intervals of 30 minutes each = 3 * 30 minutes = 90 minutes.
Since it was 3 o'clock when the temperature was 5 degrees, we can determine the time it will be when the temperature is 3 degrees below zero:
3 o'clock + 90 minutes = 4:30 (4 hours and 30 minutes).
Therefore, the temperature will be 3 degrees below zero at 4:30.
To find the temperature of the mixture at 6 o'clock, we need to calculate how many intervals of 30 minutes have passed from 3 o'clock to 6 o'clock.
3 o'clock to 6 o'clock is a time difference of 3 hours, which is equal to 3 * 60 minutes = 180 minutes.
Since each interval is 30 minutes, the number of intervals passed is:
180 minutes / 30 minutes per interval = 6 intervals.
Since the temperature decreases at a rate of 1 degree per 30 minutes, the temperature will have decreased by 1 degree for each interval.
Starting with a temperature of 5 degrees at 3 o'clock, we can find the temperature at 6 o'clock by subtracting 6 degrees (6 intervals of 1 degree each) from the initial temperature:
5 degrees - 6 degrees = -1 degree.
Therefore, the temperature of the mixture at 6 o'clock will be -1 degree.
you want an 8 degree drop.
Each degree takes 30 minutes, so ...
and 6:00 is how many 30-minutes periods after 3:00?