Mathematics: Solve for the slope between the two orderd pairs: (5,3) (8,5)

The crop yield increased by 9 pounds per acre from year 1 to year 10.Step-by-step explanation:To solve this we are using the average rate of change formula: , where: is the second point in the function is the first point in the function is the function evaluated at the second point is the function evaluated at the first point We know that the first point is 1 year and the second point is 10 years, so and . Replacing values:Since represents the number of pounds per acre and the number of years, we...

Solve for the slope between the two orderd pairs:

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ciarakelly636owuiup

07.05.2023

Mathematics

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

x_2 is the second point in the function

x_1 is the first point in the function

f(x_2) is the function evaluated at the second point

f(x_1) is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so x_1=1 and x_2=10 . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

Av=9

Since f(x) represents the number of pounds per acre and the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

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Solve for the slope between the two orderd pairs: (5,3) (8,5)

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