Can someone help me with this one please
1 answer:
Answer:
Step-by-step explanation:
<em><u>Find the Rate of Change</u></em>
The rate of change = Δy/Δx
(20 - 16) / (8 - 6) = 4/2 = 2 gal / minutes
<em><u>Slope and Graph</u></em>
The graph is given below. It shows the various points plotted and labeled.
The box near the y axis should be labeled gallons [in the tank]
The box under the x axis (if you have such a thing) should be labeled Time in minutes.
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Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
So lets plug the first two values of the table in this function , we get
or
Now plug second
Divide equation 2 by equation 1
On simplifying we get
or
So the multiplicative rate of change of the function is