Respuesta :

theleangreenbean

Answer:

k = 8/3

Step-by-step explanation:

Hi there!

y = kx

We're given that the height of the tree is 24 feet and the length shadow is 9 feet. Plug these into the equation:

24 = k(9)

k = 24/9

k = 8/3

Therefore, k = 8/3.

I hope this helps!

Peirexie

PROBLEM:

  • The height of a tree, y, varies directly with the length of its shadow, x, by the equation y = kx. If a tree's height is 24 feet and its shadow is 9 feet long, then k

GIVEN EQUATION:

  • [tex] \large \rm{y = kz}[/tex]

Now, we will substitute the given values into the equation.

  • [tex]\large\rm{y = kz}[/tex]

  • [tex]\large\rm{24 = k(9)}[/tex]

  • [tex]\large\rm{k = \frac{24}{9}}[/tex]

  • [tex]\large\rm{k = \frac{24÷3}{9÷3}}[/tex]

  • [tex]\large\rm\red{k = \frac{8}{3}}[/tex]

Hence, k is 8/3.

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