Question

In the Cooling Tea Activity example, the function appears to level off. Please Explain why this happens.
Cooling Tea Cooling Tea Activity: You can use your graphing calculator to fit an exponential curve to data and find the exponential function Time (min) 0 5 o Above Room Temperature 135 100 74 The table at the right shows the number of degrees above room temperature for a cup of tea after x minutes of cooling. Graph the data. Find the best-fitting exponential function. 10 | 15 20 25 30 35 40 45 50 41 Press STAT ENTER on your calculator to enter the data in lists. Step 1 30 17 12 9 7 5 4 Step 2 Set up STAT PLOT for Plot 1 to draw the scatter plot. Press 2ND Y=, select On, point graph, L1 for XList, and L2 for YList. 60

Answer 1

we get best fit estimated by f(x)=133.458(0.942)^x

This is exponential funtion and this is the way of plotting exponential function when x values is high it will level off.
to check this you can put

as these f(x) values are too small it appear to level off
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