Answer:
9 - ((3 / 1) / 3) + 1 = 9
Step-by-step explanation:
y-axis = altitude in feet
x-axis = minutes
slope = y/x = feet/minute
According to above data, we know that 1800 feet is y-intercept and slope is -300 feet per minute (why slope is negative? because its approaching ground at a constant speed)
a. slope = -300
y-intercept = 1800
b. y = -300 x + 1800
c. Here we are given x = 2 minutes
y = -300(2) + 1800
y = -600 + 1800
y = 1200
The balloon will be 1200 feet high above the ground in 2 minutes.
d. Here we are given 300 feet which is y, and find x minutes.
y = -300 x + 1800
300 = -300x + 1800
300 - 1800 = - 300x
-1500 = -300x
1500 = 300 x
x = 1500 / 300
x = 5
The balloon will reach 300 feet above the ground in 5 minutes.
e. It asking when the balloon will reach the ground, if the balloon reaches the ground than the height will be 0, therefore x-intercept (y=0).
y = -300 x + 1800
0 = -300 x + 1800
-1800 = -300x
1800 / 300 = x
x = 6
The balloon will reach the ground in 6 minutes.
<em>//Hope this helps</em>
Change in Amplitude is 2
Change in Period is π
Transforming sin(x) to
y = a(sin(bx+c)) + d
Where, a is Amplitude and π is period
Amplitude of sin(x) =1
Period of sin(x) = 2π
Amplitude of 3sin() = 3
Period of 3sin() = *π = 3π
Change in Amplitude = 3sin() - sin(x)
= 3 - 1
= 2
Change in Period = 3sin() - sin(x)
= 3π - 2π
= π
To learn more about Amplitudes and Periods visit:
brainly.com/question/23713359
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