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Question

The function $W(t) = 2600(1 - 0.51e^{-0.075t})^3$ models the weight, $W(t)$, in kilograms, of a female African elephant at age $t$ years. ($1$ kilogram $\approx$ $2.2$ pounds) Use a graphing utility to graph the function. Then $\boxed{TRACE}$ along the curve to estimate the age of an adult female elephant weighing $1800$ kilograms.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2We can see in the graph that $W(t)=1,800\space \text{kilograms}$ intersects with $t=19.8179967 \space \text{years}$. Therefore, the weight of a female African elephant will be $1,800\space \text{kilograms}$ at the age of approximately $19.8 \space \text{years}$.

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