The temperature is shown at 6:00am. It is rising at one degree every thirty minutes. At this rate, it will be 20 degrees at what time?
rate: 1deg/30min = 0.0333deg/min
temp=rate X time
20deg= (0.333 deg/min) X t
(20deg/0.333deg/min)=t
t= 600 min
t=(600 min)X 1hr/60min
t=10 hrs
reference time=6:00 pm
t= 4:00 pm.
each 1 deg increment will reach up to 20deg at 4:00 pm
To determine the time when the temperature will reach 20 degrees, we need to calculate the number of intervals it will take to rise from the current temperature to the desired temperature, and then add that number of intervals to the initial time.
Let's break down the problem:
- The temperature is rising at a rate of 1 degree every 30 minutes.
- We want to find out when it will reach 20 degrees.
First, let's calculate how many intervals it will take to increase from the current temperature to 20 degrees:
The desired temperature increase is 20 degrees - the current temperature (at 6:00 am), which is unknown in this case.
Next, we need to convert the rate of increase to intervals. Since the temperature is increasing by 1 degree every 30 minutes, there are 30-minute intervals for every 1-degree increase.
To find out the number of intervals needed to reach the desired temperature increase, we divide the desired temperature increase by the rate of increase:
(Number of intervals) = (Desired temperature increase) / (Rate of increase per interval)
In this case, since the rate of increase is 1 degree per 30 minutes, the number of intervals needed would be (20 degrees - unknown current temperature) / 1 degree per 30 minutes.
Now, we can set up the equation:
(Number of intervals) = (20 - unknown) / 1/30
To solve for the unknown current temperature, we can isolate it by multiplying both sides of the equation by (1/30):
(Number of intervals) * (1/30) = 20 - unknown
Finally, we can simplify the equation to find the value of the unknown current temperature:
unknown = 20 - (Number of intervals) * (1/30)
To find out the time when the temperature will reach 20 degrees, we need to determine the number of intervals and then convert it to minutes.
Please provide the number of intervals to complete the calculation.