Question

Use the exponential model y = 10.41. (2.31)ˣ to predict the input when the output is 35,000 to the nearest tenths decimal place.

x = 1,455.5
x= 12.5
x = 9.7
X-3.5

Answer 1

To predict the input when the output is 35,000 using the exponential model y = 10.41 * (2.31)^x, we can solve for x by taking the logarithm of both sides and rearranging the equation.

Step-by-step explanation:

To predict the input when the output is 35,000 using the exponential model y = 10.41 * (2.31)^x, we need to solve for x. We can rearrange the equation to isolate x:

35,000 = 10.41 * (2.31)^x

Divide both sides by 10.41:

(2.31)^x = 35,000 / 10.41

Take the logarithm (base 2.31) of both sides to solve for x:

x = log2.31 (35,000 / 10.41)

Using a calculator, we find that x is approximately 9.7 to the nearest tenths decimal place.