Question

Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.
Enter the correct answer in the box by replacing the values of a and b

f(x) = a(b)^x

(PLATO)

Answer 1

The exponential equation modeling this relationship is given as follows:

f(x) = 8(0.5)^x.

What is an exponential equation?

An exponential equation is modeled by:

f(x) = a(b)^x

In which:

• a is the initial value, that is, the value of y when x = 0.

• b is the rate of change.

For this problem, we have that when x = 0, y = 8, hence a = 8. Then:

f(x) = 8(b)^x.

When x = 1, y = 4, hence b is found as follows:

f(x) = 8(b)^x.

4 = 8b

b = 0.5.

Hence the equation is:

f(x) = 8(0.5)^x.

More can be learned about exponential equations at brainly.com/question/25537936

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