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Mathematics
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The following table gives values for a function 

N = N(t).
t
N = N(t)
1018.9
2025.8
3049.3
4052.3
5055.2
6055.7
7055.9
Calculate the average rate of change from 
t = 40
 to 
t = 50.
 
 

Use your answer to estimate the value of 
N(48).
 (Round your answer to one decimal place.) 
Sep 3rd, 2015

Hi there! Thank you for the opportunity to help you with your question!

The average rate of change is given by the change in the dependent variable (N), divided by the independent variable t

In this case:( N(50) - N(40))/(50-40)

=(55.2-52.3) /10 = 0.29


An estimate for N(48) can be given by writing the equation of the line y= N(40)+0.29t


52.3 + 0.29*8 =54.6


Please let me know if you need any clarification. Always glad to help!
Sep 3rd, 2015

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