The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2005? Round your answer to two decimal places.

A) 1.92
B) 2.42
C) 4.32
D) 3.42
E) 4.92

Question

The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2005? Round your answer to two decimal places.
The following table gives the average number of students per computer in public schools for the school years that ended in 1985 through 2002. Find an exponential model for these data. How many students per computer in public schools does this model predict for 2005? Round your answer to two decimal places. A) 1.92 B) 2.42 C) 4.32 D) 3.42 E) 4.92

A) ​1.92 
B) ​2.42 
C) ​4.32 
D) ​3.42 
E) ​4.92

Quizplus · Accepted Answer

We can use exponential regression to find the model. Using Excel or a calculator, we get the model:

y = 11.671e^(-0.075x)

where x is the year, with x = 0 corresponding to 1985. To find the predicted value for 2005, we substitute x = 20 (since 2005 is 20 years after 1985) into the equation:

y = 11.671e^(-0.075(20)) ≈ 2.42

Therefore, the answer is B, 2.42.

The Following Table Gives the Average Number of Students Per