The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
What's the total number of people that drink 3 cups?
Total number of people = 400
7 / 10 were asked said yes
Number of people that said yes = (7 / 10) × 400 = 280
280 people drink tea.
20% of 280 people drink 3 cups daily, whats the number = ?
20% of 280 = ?
20 / 100 = x / 280
(20 × 280) = (100 × x)
5600 = 100x
X = 5600 / 100
X = 56 people
56 people drink 3 cups of tea daily.
Answer:
The solution I got is (4,2)
Step-by-step explanation:
When I plotted the equations on a graph, they intercepted at (4,2).
Y =ax² + bx +c
1) Point (0,7)
7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7
2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------>
a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ---->
-1=2a + b
4)
a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1,
a =2
5) a+b= - 3
2 + b = -3
b = -5
y=2x² - 5x + 7