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Alex787 [66]
4 years ago
14

What is the rate of change between the interval x = π and x = three pi over two?

Mathematics
2 answers:
kakasveta [241]4 years ago
8 0
Rate of change is computed from
  (rate of change) = (amount of change)/(width of interval)
  = (-1 - 1)/(3π/2 - π) = -2/(π/2) = -4/π

The appropriate choice is
  D) -4/π
Luba_88 [7]4 years ago
5 0
Answer: Option B) negative 16 over pi

Rate of change between the interval x=a and x=b:
r=[f(b)-f(a)]/(b-a)

In this case:
a=<span>π
b=3</span><span>π/2

r=[f(3</span>π/2)-f(π)]/(3π/2-<span>π)

According to the graph:
f(3</span><span>π/2)=-1
f(</span><span>π)=7

Replacing in the formula above:
r=(-1-7)/[(3</span>π-2<span>π)/2]
r=(-8)/(</span><span>π/2)
r=(-8)(2/</span><span>π)
r=-16/</span><span>π</span>
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