Precalculus word problem

Question

the chart to the right shows a country's annual egg production. Model the data in the chart with a linear function, using the points (1995, 51.7) and (1999, 60.5).

let's x represent the year, where X=0 represents 1995, and so on, and let's y represent the egg production (in billions) predict egg production in 2001.

Type answer in slope-intercept form. use intergers or decimals for any number in the equation. round to three decimal places as needed.

What is the predicted egg production in 2001

year & egg production (in billions)

1995     51.7

1996     52.6

1997     54.4

1998     57.3

1999     60.5

2000     64.1

2001 69.8

Answer 1

Points given

(1995, 51.7) and (1999, 60.5).

so slope = m = (60.5 -51.7) / (1999-1995)

=8.8 /4

= 2.2

so we can write equation

y-y1 =m(x-x1)

y-60.5 =2.2(x-1999)

y -60.5 = 2.2x -4397.8

y =2.2x-4337.3 ............equation in slope intercept form

What is the predicted egg production in 2001

y=2.2(2001)-4337.5

=4402.2 -4337.5

=64.7