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3 years ago

6

A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. U

se an equation in point-slope form to determine the height of the candle after 2 hours.

1 answer:

Keith_Richards [23]3 years ago

8 0

Answer: 8.75 is the correct answer

Step-by-step explanation:

I'm big brain.

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A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t

Arte-miy333 [17]

Answer:

60

Step-by-step explanation:

The given function is:

$h(t)=-16t^2+120t+6$

The average rate of change of h(t) from t=a to t=b is given by:

$\frac{h(b)-h(a)}{b-a}$

We can rewrite this function as: $h(t)=-16(t-3.75)^2+231$

The maximum height of the rocket is 231 and it occurs at t=3.75

$\implies h(3.75)=231$

The initial launch occurs at: t=0

and $h(0)=-16(0)^2+120(0)+6=6$

The average rate of change from the initial launch to the maximum height is

$\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60$

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