Question

A graph represent 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? Explain your reasoning

Answer 1

Answer:

8

Step-by-step explanation:

(1,c) y=5.4321*2^1 or y = 10.8642

(4,d) y=5.4321*2^4 or y = 86.936

Then you plug in the numbers and divide the two...

 $\frac{86.9136}{10.8642}$

8

Answer 2

The value of d/c = 8, when the given graph represents the equation f(x) = 5.4321*(2)ˣ, and A (1, c), and B (4, d) pass through the graph.

What does the graph of an equation show?

The graph of an equation passes through all the points that satisfy the given equation. The graph shows a curve joining all those points.

How do we solve the given question?

In the question, we are given a graph and its equation f(x) = 5.4321*(2)ˣ.

We are given the coordinates of two points on graphs A: (1, c) and B: (4, d).

We know that any point of the form (x, y) which passes through the graph of the equation, satisfies the equation.

∴ A (1, c) and B (4, d) satisfies the equation f(x) = 5.4321*(2)ˣ.

∴ c = 5.4321*(2)¹ = 5.4321 * 2

d = 5.4321*(2)⁴ = 5.4321 * 16

∴ d/c = (5.4321*16)/(5.4321*2) = 16/2 = 8.

∴ The value of d/c = 8, when the given graph represents the equation f(x) = 5.4321*(2)ˣ, and A (1, c), and B (4, d) pass through the graph.

Learn more about graphs of equations at

https://brainly.com/question/2456547

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