Question

Here is a graph that represents f(x)=5.4321×2^x. The coordinates of A are (1, c)and the coordinates of B are (4, d) what is the value of d/c?

Answer 1

To answer this question, we need to take into account that we have the next function:

`f(x)=5.4321\cdot2^x^{}`

Now, we have that the coordinates of A are (1, c), and the coordinates of B are (4, d).

Then, for A, we have that the x-coordinate is x = 1, and for B is x = 4. If we substitute these values into the function, we have:

For A:

`f(1)=5.4321\cdot2^1=10.8642`

Then, the coordinates for A are (1, 10.8642) (c = 10.8642).

For B:

`f(4)=5.4321\cdot2^4=86.9136`

Then, the coordinates for B are (4, 86.9136) (d = 86.9136).

Therefore, the value for d/c is:

`(d)/(c)=(86.9136)/(10.8642)\Rightarrow(d)/(c)=8`

Hence, the value for d/c = 8.