The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.

Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?

Answer:

The height is 36 meters

Step-by-step explanation:

Given

[tex]y = 24 * \frac{x}{10}[/tex]

Required

The interpretation of the question is to determine the value of y when x = 15

Substitute 15 for x in: [tex]y = 24 * \frac{x}{10}[/tex]

Answer:54

Step-by-step explanation:edge

Complete Question:The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters.

Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?

Answer:The height is 36 meters

Step-by-step explanation:Given[tex]y = 24 * \frac{x}{10}[/tex]

RequiredThe interpretation of the question is to determine the value of y when x = 15

Substitute 15 for x in:[tex]y = 24 * \frac{x}{10}[/tex][tex]y = 24 * \frac{15}{10}[/tex]

[tex]y = 24 * 1.5[/tex]

[tex]y = 36[/tex]

The height is 36 meters