Question

the chart to the right shows a countrys annual egg production. model the data in the chart with a linear function, using the points (0,51.7) and (4,60.2). let x = 0 represent 1994, x = 1 represent 1995, and so on, and let y represent the egg production (in billions). predict egg production in 2000. how does the result compare to the actual data given in the table, 69.7? the linear model for the data is y = 2.125x + 51.7. (type an equation using x as the variable. type your answer in slope - intercept form. use integers or decimals for any numbers in the equation. round to the nearest thousandth as needed.) what is the predicted egg production in 2000? (type an integer or a decimal. round to the nearest hundredth as needed.)

Explanation:

Step1: Determine x for 2000

Since \( x = 0 \) represents 1994, for 2000, the number of years after 1994 is \( 2000 - 1994 = 6 \). So \( x = 6 \).

Step2: Substitute x into the linear model

The linear model is \( y = 2.125x + 51.7 \). Substitute \( x = 6 \) into the equation:
\( y = 2.125\times6 + 51.7 \)
First, calculate \( 2.125\times6 = 12.75 \). Then, add 51.7: \( 12.75 + 51.7 = 64.45 \).

Answer:

64.45