2001-2005 number hours user spent on the internet each week increased 110% by hours. This percent increased amount to 11 hours. Find the average number of hours that a user spent on the internet in each week in 2001 and 2005.
Having problems with setting it up.
X = The # of hours before the increase.
(X+11) = The # of hours after the increase.
(x+11)/x = 1.1
1.1x = x+11
1.1x - x = 11
0.1x = 11
X = 110 h.
X+11 = 121 h.
To solve this problem, let's start by setting up an equation based on the given information.
Let x represent the average number of hours a user spent on the internet each week in 2001.
The percent increase of 110% can be expressed as 110/100 or 1.1 in decimal form.
According to the given information, the percent increase in hours amount to 11 hours. This means:
x + 1.1x = x + 11
Simplifying the equation, we have:
2.1x = x + 11
To solve for x, we can subtract x from both sides:
2.1x - x = 11
Simplifying further:
1.1x = 11
To isolate x, divide both sides of the equation by 1.1:
x = 11 / 1.1
Calculating the value:
x = 10
So, the average number of hours a user spent on the internet each week in 2001 was 10 hours.
To find the average number of hours a user spent on the internet each week in 2005, we can use the percent increase of 110%:
x + 1.1x = 10 + 1.1(10)
= 10 + 11
= 21
Thus, the average number of hours a user spent on the internet each week in 2005 was 21 hours.