Question

Charlie and Hayden are standing outside. Charlie is 64 inches tall and casts a shadow of 30 inches. If Hayden is 68 inches tall, approximately how long is his shadow?

Answer 1

The length of Hayden shadow is 31.875 inches.

Equation

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let y represent Charlie height and x represent his shadow.

y ∝ x

y = kx

Charlie is 64 inches tall and casts a shadow of 30 inches. Hence:

• 64 = 30k
• k = 2.13

y = 2.13x

If Hayden is 68 inches tall, hence:

• 68 = 2.13x
• x = 31.875

The length of Hayden shadow is 31.875 inches.

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