Question

Use the table to answer the question.

This table is set up to evaluate a statement for different values of x by showing the substituted value, the evaluated result, and whether the statement is true.
x Substituted Evaluate True Statement?
12
24
36
48
When set off, a certain firework follows the path of the quadratic function h=−2536x2+1623x
, where:

h=
the height of the firework in feet.
x=
the horizontal distance it travels in feet.
To determine how far the firework will travel before reaching the ground, determine which value of x in table is a solution to the equation 0=−2536x2+1623x
.

(1 point)

12 feet

36 feet

48 feet

24 feet
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Answer 1

Solve 0 = −2536x^2 + 1623x by factoring:

x(−2536x + 1623) = 0 → x = 0 or x = 1623/2536 ≈ 0.640.

None of the table values (12, 24, 36, 48) equals 0 or 0.640, so none of those is a solution.