A television game show begins with 20 contestants. Each week, the players vote 2 contestants off the show. What is the rate of change in this problem situation?

20 contestants per week
20 contestants per week

2 contestants per week
2 contestants per week

-2 contestants per week
-2 contestants per week

-20 contestants per week

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joaobezerra joaobezerra · Answer 1 · 2022-06-15T19:18:40+02:00

Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.

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.

Considering the situation described, the number of participants after n weeks is given by:

N(n) = 20 - 2n.

The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.

More can be learned about linear functions at https://brainly.com/question/24808124

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