Write an equation of the trend​ line, rounding to two decimal places as needed. For this​ problem, choose the points ​(1990​, 252​) and ​(2002​,​ 325). Choose the correct answer below.

Answer 1

The equation of the trend line can be found using the formula:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.

In this case, the coordinates are (1990, 252) and (2002, 325).

m = (325 - 252) / (2002 - 1990)
= 73 / 12
= 6.08 (rounded to two decimal places)

Now we can use one of the points and the slope to find the equation of the line. Let's use the first point (1990, 252).

y - 252 = 6.08(x - 1990)

Simplifying:

y - 252 = 6.08x - 12115.2

y = 6.08x - 12115.2 + 252

y = 6.08x - 11863.2

Therefore, the equation of the trend line is y = 6.08x - 11863.2.

Answer 2

Estimate the attendance at theme parks in the country in 2005.
The estimated attendance was ____ million.
​(Round to the nearest whole number as needed. Use the answer from the previous part to find this​ answer.)

Answer 3

To estimate the attendance at theme parks in the country in 2005, we can substitute the year 2005 into the equation of the trend line we found earlier.

y = 6.08x - 11863.2

Substituting x=2005 into the equation:

y = 6.08(2005) - 11863.2

y ≈ 12170 - 11863.2

y ≈ 306.8

Rounding to the nearest whole number, the estimated attendance at theme parks in the country in 2005 is 307 million.