Question

A teacher keeps track of the number of students that participate at least three times in an optional study session each year. He models the attendance over the last nine years with this function.

n(t) = 3.53t^2 - 33.04t + 117.56

Which graph would most likely be associated with the given model?

Answer 1

Answer:

In photo below

Explanation:

In photo below

I hope this helps

Answer 2

Regression equations can be linear, quadratic or exponential

The graph that would most likely be associated with the given model is (b)

The regression equation is given as:

$n(t) = 3.53t^2 - 33.04t + 117.56$

The above regression equation is a quadratic function (and non-linear).

So, the graph must represent a non-linear relationship.

From the given graphs, only graph (b) represents a quadratic function.

Other options are either linear models or exponential.

Hence, the graph that would most likely be associated with the given model is (b)

Read more about regression models at:

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