We can see that g(1) = f(4).
So g(x) = f(4*x)
k is 4
Answer: 12x
Step-by-step explanation:
The question is asking what equation models the table above. You have to make an equation that when any of the times on the left column are plugged in, the value on the right column are outputted.
For 1, the equation should output 12. For 2, the equation should output 24. For 3, the equation should output 36, and so on.
Here, we see a pattern: for every value we input as the number of seconds, the height is 12 times more than that. Assuming x is the time and y is the height,

If we use any x on the left, it's corresponding height will be the y.
for a put 6 and b put -9
Explain: 6(-9) is equal to -54
and 6- -9 is 15 because the minus turns into a plus sign and the negative number turns into a positive number.
Answer:
y = 0.2(0.5)^x
Step-by-step explanation:
Exponential function are of the form
y = ab^x
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To find "a" plug in x = 0 y = 0.2
0.2 = a(0.2)^0
0.2 = a
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To find "b" plug in another point and a = 0.2
using x = 2, b = 0.05
0.05 = 0.2b^2
Divide both sides by 0.20
.25 = b^2
Take the square root of both sides
0.5 = b
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With a = 0.2 and b = 0.5 the equation becomes
y = 0.2(0.5)^x