Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
Answer:
0.79
Step-by-step explanation:
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
y/2
Step-by-step explanation:
x+3=y+2
------ --------
3 2
Using cross products
2(x+3) = 3(y+2)
Distribute
2x+6 = 3y+6
Subtract 6 from each side
2x+6-6 = 3y+6-6
2x= 3y
Divide each side by 2
2x/2 = 3y/2
x = 3/2 y
We want to find x/3
Divide each side by 3
x/3 = 3/2 y * 1/3
x/3 = 1/2 y
Note the equal sign. What you do to one side, you do to the other.
Do the opposite of PEMDAS. First, add 33 to both sides
4x - 33 (+33) = 7 (+33)
4x = 40
Next, divide by 4
4x/4 = 40/4
x = 40/4
x = 10
10 is your answer
hope this helps
