00:01
In this question, a case study about us imports is given as it says that amount of imports to the united states has increased exponentially since 1980.
00:13
And an exponential function is given, i of x equal to 297 .5 .39 multiplied by 1 .075 to the power x.
00:27
It can be used to calculate the amount of us imports in the year, x after 1980.
00:39
X is the number of year after 1980 and this amount is in billion dollars, billions of dollars.
00:47
So we need to find out the total amount of imports to the united states in 1995, 2005, 2005, 2010.
00:56
2010 and 2013.
01:00
So first in 1995 for year 1995 the value of x will be 15.
01:11
So for year 1995, the value of x will be 15.
01:13
So for year 1995 x is equal to 15 as it is the number of year after 1980.
01:27
So we will calculate imports which is i of x which can be as i of 15, which is 15 year after 1980, will be equal to 297 .539 times 1 .075 to the power 15.
01:52
By calculating this, we got the amount of imports after 15 years, that is in 1995, as about 880 billion dollars so this is the amount of us imports in year 1995 now we will calculate the amount of imports in year 2005 so for year 2005 so for year 2005 the value of x will be 25 as it is the number of year after 1980.
02:39
So we will calculate imports after 25 years as 297 .539 times 1 .075 raised the power 25...