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Shkiper50 [21]
3 years ago
6

For t > 30, L(t), the linear approximation to A at t = 30, is a better model for the amount of grass clippings remaining in t

he bin. Use L(t) to predict the time at which there will be 0.5 pound of grass clippings remaining in the bin. Show the work that leads to your answer.
Mathematics
1 answer:
lina2011 [118]3 years ago
3 0

Answer:

35 days

Step-by-step explanation:

We know that L(t) is the tangent to the line A(t) at t = 30

At t = 30:

A (30) ≈ 0.783 →(30, 0.783) = (t, A(t))

A¹ (30) ≈ -0.56

let -0.56 = M

For a linear function, a straight line equation applies which leads to

(y-y₁) = m (x-x₁)                                                   ...1

So for this problem we have;

A (t)-0.783 = -0.56 (t - 30)

when there is 0.5 pounds of grass, A (t) - 0.5, then using the equation (1)

(0.5 - 0.783) = -0.56 (t-30)

                   t = 35.054

                     ≈ 35 days

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Answer:

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Step-by-step explanation:

The formula you need is

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