Question

PLS HELP I WILL LOVE U FOREVER PLS IM DESPREATE

Answer 1

Answer:

The equation of the exponential function will be:

• $y\:=\:10\cdot \left(\frac{1}{5}\right)^x$

Step-by-step explanation:

The general exponential function is defined as

y = abˣ

Here,

• a is the initial value and b is the growth factor

From the table, it is clear that the y-intercept is (0, 10). Note that the y-intercept can be determined by setting x=0 and solving for y.

here

at x=0, y=10

so a = 10

If we check the y-values, it is clear that every next value of y can be obtained by multiplying the previous y-value by 1/5.

In other words, the common multiplier = b = 1/5

Thus, the equation becomes

$y\:=\:10\cdot \left(\frac{1}{5}\right)^x$

Thus, the equation of the exponential function will be:

• $y\:=\:10\cdot \left(\frac{1}{5}\right)^x$