Match a standard form equation with the graph below.
1 answer:
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Answer:
Exponential functions!
Step-by-step explanation:
I think what you are dealing with is an exponential function!
So, to solve this, we need to first understand the main form of an exponential function:
Where a is the number we start off with, and b is the constant thing(forgot what it was called).
Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!
Also, defining variables:
Let f(x)= # of Bees
Let x= # of years
Thus, here is our equation:
So, that's it!
Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)
Stay Safe!
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.