Question

the percent p of the u.s. population with internet access is given by 25p-34t=1378 where t is the number of years after 1990. what percent of the u.s. population had interent access in 2005? (round to one decimal place) in what year will 89% have internent access?

Answer 1

Approximately 75.5% of the U.S. population had internet access in 2005. In approximately 2014.91, 89% of the U.S. population will have internet access.

Step-by-step explanation:

To find the percent of the U.S. population with internet access in a given year, we can substitute the year into the equation and solve for 'p'. For the year 2005, t would be 2005 - 1990 = 15.

Let's plug in the values:

25p - 34(15) = 1378

25p - 510 = 1378

25p = 1888

p = 1888/25

p = 75.52

So, approximately 75.5% of the U.S. population had internet access in 2005.

To find the year when 89% of the U.S. population will have internet access, we can substitute 'p' into the equation and solve for 't'.

Let's plug in the values:

25(89) - 34t = 1378

2225 - 34t = 1378

-34t = 1378 - 2225

-34t = -847

t = -847 / -34

t = 24.91

Since 't' represents the number of years after 1990, we need to add 24.91 to 1990 to find the year.

The year when 89% of the U.S. population will have internet access is approximately 2014.91.

Answer 2

• Hence, 75.52 percent of the u.s. population had internet access in 2005.
• After 25 years or in the year 2015 89% have internet access.

Step-by-step explanation:

the percent p of the u.s. population with internet access is given by:

25 p-34 t=1378

where t is the number of years after 1990.

• We are asked to find what percent of the u.s. population had internet access in 2005 i.e. we need to find the value of p after 15 years i.e. t=15.

⇒ 25p-34×(15)=1378

⇒ 25p-510=1378

⇒ 25p=1378+510

⇒ 25p=1888

⇒ p=75.52

Hence, 75.52 percent of the u.s. population had internet access in 2005.

• Next we are asked to find in what year will 89% have internet access?

i.e. we have to find the value of t when we are given p=89

⇒ 25×89-34t=1378

⇒ 2225-34t=1378

⇒ 2225-1378=34t

⇒ 847=34t

⇒ or 34t=847

⇒ t=24.9112≈25

Hence after 25 years 89% will have internet access.

i.e. in the year 2015 89% will have internet access.