Question

A)As the x-value Increases by one, the y-value decreases by 2.26.B)As the x-value increases by one, the y-value decreases by 53.769.C)As the x-value Increases by one, the y-value increases by 2.26.D)As the x-value Increases by one, the y-value Increases by 53.769. Which equation describes the line of best fit for the table below?

Answer 1

Answer:

Option A

Explanations:

The graph shows an inverse proportion.

As x increases, y decreases in value.

Finding the slope of the graph:

dy / dx = (y₂ - y₁) / (x₂ - x₁)

x₁ = 5, x₂ = 9, y₁ = 40, y₂ = 30

dy / dx = (30 - 40) / (9 - 5)

dy / dx = -10 / 4

dy / dx = -2.5

This means that as x increases by 1, decreases by 2.5

A is the only correct option.