The linear function that is modeled by the table is given by:
y = -5x - 3.
<h3>What is the complete problem?</h3>
The problem is incomplete, and was not found on a search engine, but one idea is to find a linear function that models the data in the table.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that when x increases by 3, y decays by 15, hence the slope is given by:
m = -15/3 = -5.
Hence:
y = -5x + b.
When x = 1, y = -8, hence we use it to find b as follows:
-8 = -5(1) + b
b = -3.
Hence the function is:
y = -5x - 3.
More can be learned about linear functions at brainly.com/question/24808124
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