The correct answer are A. and B.
Good luck!!!
Answer: x= 1 , y = 7
Step-by-step explanation:
y = -6x + 13 ................. equation 1
y = 3x + 4 ................ equation 2
substitute y = 3x + 4 into equation 1 , then we have
3x + 4 = - 6x + 13
collect the like terms , we have
3x + 6x = 13 - 4
9x = 9
x = 1
substitute x = 1 into equation 2 , we have
y = 3(1) + 4
y = 3 + 4
y = 7
Therefore : x = 1 and y = 7
Plug in (4,64) into each answer choice.
A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64
Answer choice A is correct.
B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512
Answer choice B is incorrect.
C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25
Answer choice C is incorrect.
D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125
Answer choice D is incorrect.
Your answer is B<span>) f(x)=2(4)^x</span>
It decreased $7 in the last 2 days
Answer:
Option A is correct.
The function for the given graph is;

Step-by-step explanation:
An exponential function is in the form of
......[1] where a is the initial value and b≠ 0 , b >1 .
Given two points as shown in figure i.e,
let A = (0, 2) and B = (1,8)
Substitute these points in equation [1] we have;
For A = (0,2)
= a
⇒ a = 2
and
for B = (1, 8)

or

Substitute the value of a=2 in above equation to solve for b;
2b = 8
divide both sides by 2 we get;
b = 4
Then, the function for the graph is, y=