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gulaghasi [49]
3 years ago
6

Find the missing values for the exponential function represented by the table below. x values: 0, 1, 2, 3, 4 y values: 24, 40.8,

69.36, _____, _____
Mathematics
1 answer:
lakkis [162]3 years ago
3 0

f(x)=b(a)^x\\\\x=0\to y=24\qquad\text{substitute}\\\\b(a)^0=24\to b=24\\\\x=1\to y=40.8\qquad\text{substitute}\\\\24(a)^1=40.8\qquad\text{divide both sides by 24}\\\\a=1.7\\\\f(x)=24(1.7)^x\\\\\text{check for x = 2}\\\\f(2)=24(1.7)^2=24(2.89)=69.36\qquad\text{CORRECT}\\\\f(3)=24(1.7)^3=24(4.913)=117.912\\\\f(4)=24(1.7)^4=24(8.3521)=200.4504

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From my own solution, my answer is closest to D<span>. 1951 yd; 27°
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The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

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From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle. 

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

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