The days when something happens and it is not captured on ca

The days when something happens and it is not captured on camera appear to be over. The bar graph shows that by 2007, 68% of cellphones sold in a country were equipped with a camera. The data can be modeled by the function f(x) = 8 + 43 ln x, where f(x) is the percentage of new cellphones with cameras x years after 2002. a. Use the function to determine the percentage of new cellphones with cameras in 2004. Does this overestimate or underestimate the percent displayed by the graph? By how much? Determine the percentage of new cellphones with cameras in 2004 using the given function. (Round to the nearest percent as needed.) Does this overestimate or underestimate the percent displayed by the graph? A. Over estimates B. Underestimates By how much? b. If trends shown from 2003 through 2007 continue, use the function to determine by which year 97% of new cellphones will be equipped with cameras. By which year will 97% of new cellphones will be equipped with cameras? (Round to the nearest year as needed.)

Solution

f(x) = 8 + 43lnx
a) for 2004 ; x=2

f(2) = 8 + 43ln2 = 37.80

c) f(x) = 97%

97 = 8 +43lnx ;

lnx = 2.069 ; x= 7.92

It means year 2002 + 7.92 = 2010 (year)