Question

the table shows the approximate height of an object x seconds after the object was dropped. the function \\(h(x) = -16x^2 + 100\\) models the data in the table.

height of a dropped object
\

$$\begin{tabular}{|c|c|} \\hline time (seconds) & height (feet) \\\\ \\hline 0 & 100 \\\\ \\hline 0.5 & 96 \\\\ \\hline 1 & 84 \\\\ \\hline 1.5 & 65 \\\\ \\hline 2 & 37 \\\\ \\hline \\end{tabular}$$

for which value of x would this model make the least sense to use?

-2.75
0.25
1.75
2.25

Explanation:

Determine the practical domain of the model

$$
LATEXBLOCK0
$$

Evaluate the given options against the practical domain

$$
LATEXBLOCK1
$$

Identify the value that makes the least sense

$$ x = -2.75 $$

Answer:

• -2.75 (Correct answer)
• 0.25
• 1.75
• 2.25