Biologists have discovered that the shoulder height h (in centimeters) of a male Asian elephant can be modeled by h = 62.5 3 t + 75.8, where t is the age (in years) of the elephant. Determine the age of an elephant with a shoulder height of 300 centimeters.

Question

Monserrat Harrison

Mathematics

15 June, 10:30

Biologists have discovered that the shoulder height h (in centimeters) of a male Asian elephant can be modeled by h = 62.5 3 t + 75.8, where t is the age (in years) of the elephant. Determine the age of an elephant with a shoulder height of 300 centimeters.

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Answers (1)

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Tanner Fischer · Answer 1

46.16 years

Step-by-step explanation:

(correct equation with missing symbols: h = 62.5 * (^3√t) + 75.8)

To find the age of an elephant that has a shoulder height of 300 centimeters, we just need to use the value of h = 300 in the equation, and then find the value of t:

h = 62.5 * (^3√t) + 75.8

300 = 62.5 * (^3√t) + 75.8

62.5 * (^3√t) = 224.2

^3√t = 3.5872

t = 3.5872^3 = 46.16 years

The age of the elephant is 46.16 years.