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)
Responses

36 feet
36 feet

12 feet
12 feet

48 feet
48 feet

24 feet
24 feet
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Answer 1

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

0 = x(−2536x + 1623)

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

Neither 12, 24, 36, nor 48 equals 0 or 0.640, so none of the given table values is a solution.