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Sonja [21]
3 years ago
8

What is the rate of change for the linear relationship modeled in the table? (4 points)

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:1/2

Step-by-step explanation:

Because the other guy said so and they seem smart so...yeah I would pick that one.

lozanna [386]3 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is <em>constant</em>. When we talk about <em>change</em>, we're looking for a <em>difference</em> of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the <em>rate of change </em>is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the <em>slope</em>, is Δy/Δx. So, using the values we've already found:

\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2

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