Question

The function w (t) = 29 + 0.0674t gives the estimated weight, in pounds, of a beaver t days

after June 1, where t < 90. Which of the following is the best interpretation of 29 in this context?

1)The estimated weight, in pounds, of the beaver 90 days after June 1

2)The estimated weight, in pounds, of the beaver on June 1

3)The estimated number of pounds by which the beaver's weight increased each day after June 1

4)The estimated number of pounds by which the beaver's weight increased in the 90 days after
June 1

Answer 1

2) The estimated weight, in pounds, of the beaver on June 1.

Explanation:

Given function:

`w(t) = 29 + 0.0674t \quad t < 90`

where:

• w = weight of a beaver (in pounds)
• t = time after June 1 (in days)

When t = 0:

`\begin{aligned}\implies w(0)&=29+0.0674(0)\\&=29+0\\&=29\end{aligned}`

Therefore, the constant of the equation (29) is the estimated weight of the beaver, in pounds, when t = 0.

As t = 0 is June 1:

• 29 is the estimated weight, in pounds, of the beaver on June 1.