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The given quadratic equation gives the parameters of the shape of the
graph of the equation.
- The graph that is most likely associated with the model is; <u>graph B</u>
Reasons:
The given function is <u>n(t) = -2.82·t² + 25.74·t + 60.87</u>
by analyzing the above function, we have;
At t = 0
n(0) = -2.82 × 0² + 25.74 × 0 + 60.87 = 60.87
- The x-coordinate of the maximum point is given by
Which gives;
The maximum value of the function is therefore;
n(4.564) = -2.82 × 4.564² + 25.74 × 4.564 + 60.87 ≈ 119.61
The characteristics of the equation are;
Initial value of equation = 60.87
t-coordinate of the maximum point, t ≈ 4.564
Maximum value of the of the function = 119.61
By comparing with the given graphs, we have;
Therefore, the graph that will most likely be associated with the model is; <u>graph </u><u><em>B</em></u>.
Learn more about graphs of quadratic equations here: