High School

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, 51.7) and (1998, 60.3).

Let \( x \) represent the year, where \( x = 0 \) represents 1994, \( x = 1 \) represents 1995, and so on. Let \( y \) represent the egg production (in billions).

Predict egg production in 2000.

| Year | Egg Production (in billions) |
|------|-------------------------------|
| 1994 | 51.7 |
| 1995 | 52.6 |
| 1996 | 54.4 |
| 1997 | 57.1 |
| 1998 | 60.3 |
| 1999 | 63.8 |
| 2000 | 69.5 |

Answer :

The egg production in 2000 is predicted to be 64.6 billions eggs

Finding the slope of the line using the data form the table

y = mx + c

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

m = (60.3 - 51.7 ) / ( 4 - 0 )

m = 8.6 / 4

m = 2.15

using the slope intercept form gives:

y - y1 = m ( x - x1 )

y - 51.7 = 2.15 ( x - 0 )

y - 51.7 = 2.15

y = 2.15x + 51.7

year 2000 is equivalent to x = 6

y = mx + c

plugging in x = 6 gives

y = 2.15 * 6 + 51.7

y = 64.6 billions eggs

The egg production in 2000 is predicted to be 64.6 billions eggs

Read more on slope intercept here: https://brainly.com/question/19440459

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