Question

Select the correct answer.

Answer 1

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; graph B

Reasons:

The given function is n(t) = -2.82·t² + 25.74·t + 60.87

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 $\displaystyle x = -\frac{b}{2 \cdot a}$

Which gives;

$\displaystyle t = -\frac{25.74}{2 \times (-2.82)} \approx 4.564$

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;

• $\begin{tabular}{c|c|c|}&Graph A&Graph B\\Initial value&100&75\\t-value at max point&7&4\\Maximum value&200&125\end{array}\right]$

Therefore, the graph that will most likely be associated with the model is; graph B.

Learn more about graphs of quadratic equations here:

brainly.com/question/10989920