Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
1/4 is 25 percent so it is still 40.00
Answer:
C D and E
Step-by-step explanation: Give me "bairlest"
1) 13.02-6y=8y
+6y=6y
13.02=14y then divide both sides by 14. you get y= .93
2) 1/5x+5=19-1/2x
-5=-5
(1/5x=14-1/2x)5
x=70-2.5x
+2.5x=+2.5x
3.5x=70 divide both sides by 3.5 and you get x=20
3) 7.3t+22=2.1t-22.2
-2.1t =-2.1t
5.2t+22=22.2
-22=-22
5.2t=-44.2 divide both by 5.2 and t=-8.5
4) (1.4+2/5e=3/15e-.8)15
21+6e=3e-12
-3e=-3e
21+3e=-12
-21 =-21
3e=-33 divide both by 3 and e=-11
5) 5(x-4)=2(2x+5)
5x-20=4x+10
-4x -4x
x-20=10
+20=+20
x=30
6) -7(3+t)=4(2t+6)
-21-7t=8t+24
+7t=+7t
-21=15t+24
-24= -24
-45=15t divide both by 15 and t=-3
7) (3/4x+6=1/3x+9)4
3x+24=1.3x+36
-1.3x =-1.3x
1.7x+24=36
-24=-24
1.7x =12 divide both sides by 1.7 and x=7.06
