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 = 12, 24, 36, 48
When set off, a certain firework follows the path of the quadratic function h = - (25/36)x^2 + 16.33x
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 h = - (25/36)x^2 + 16.33x
（1 point）
12 feet
48 feet
36 feet
24 feet

Answer 1

Set h = 0: 0 = - (25/36)x^2 + 16.33x = x(- (25/36)x + 16.33).
So x = 0 or x = 16.33 ÷ (25/36) ≈ 16.33 × 1.44 ≈ 23.52.
From the choices, 24 feet is the solution.