Youn could test all of the options by putting 8 and 3 in for a and b.
A. a - b = 5
8 - 3 = 5
5 = 5
B. a + b = 5
8 + 3 = 5
11 ≠ 5
C. a - b = 8
8 - 3 = 8
5 ≠ 8
D. a + b = 8
8 + 3 = 8
11 ≠ 8
As you can see, the only one that works is A. a - b = 5.
Answer: Town 1
Step-by-step explanation:
Town 1's population is growing at a factor of 1.02 which means that it is increasing by 2% a year.
Town 2 is growing at a factor of 0.999 which means that it is decreasing at a rate of:
= 1 - 0.999
= 0.1%
Town 3's population is increasing by 150 a year and town 4 is 200 people a year.
Town 1 will eclipse them all eventually because it is <u>growing proportionally at 2%</u>.
Towns 3 and 4 will eventually see 150 and 200 people fall below 2% of their town's population which means they will be growing at a slower rate than Town 1.
We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
D, add all your answers than divide by how many numbers there are