The chart to the right shows a country\'s annual egg production. Model the data

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 (1994,52.7) Year Egg production and (199861.5). Let x represent the year, where x= 0 represents 1994, x= 1 represents 1995, and so on, and let y represent the egg production (in billions). Predict egg production in 2000 1994 1995 1996 1997 1998 1999 2000 in billions 52.7 53.6 55.5 58.4 61.5 65 70.9 The linear model for the data is Type your answer in slope-intercept form. Use integers or decimals for any numbers in the equation. Round to three decimal places as needed.)

Explanation / Answer

The linear function is :

taking (x1,y1)=(0,52.7)

(x2.y2)=(4,61.5)

according to the intercept form,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

(y-52.7)={(61.5-52.7)/(4-0)}*(x-0)

(y-52.7)=2.2*x

y=2.2x+52.7

Second Part:

if x=6, y=?

y=(2.2*6)+52.7

=65.9 billions

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