Can someone please help me with this question. Thank you!
The information in the table represents the temperature of a cup of hot chocolate in relations to time.
Time(t) Temperature(T)
0 60
5 54
10 48
15 44
20 41
Use the exponential regression function in your calculator to find the equation in the form T=a(b)^t, where t=time(min) and T=termperature (*C), a and b to the nearest hunderedth. Then use the formula derived in the first question to determine the temperature of the hot chocolate at t=35 minutes.
To find the equation in the form T=a(b)^t using exponential regression on your calculator, follow these steps:
1. Enter the time and temperature data into your calculator. For example:
Time: 0, 5, 10, 15, 20
Temperature: 60, 54, 48, 44, 41
2. Go to the regression options menu on your calculator. The location of this option may vary depending on the calculator model you are using.
3. Select exponential regression from the available regression options.
4. The calculator will generate the equation in the form T=a(b)^t. The values of a and b will be shown as part of the regression output. Round these values to the nearest hundredth.
Now, to determine the temperature of the hot chocolate at t=35 minutes using the derived equation:
1. Plug in the value of t into the equation T=a(b)^t. In this case, t=35.
2. Substitute the rounded values of a and b into the equation.
3. Calculate the temperature T.
Now you can find the temperature of the hot chocolate at t=35 minutes using the derived equation.