Use the exponential model, nearest tenths decimal place.

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.

Answer 1

The equation is .

Predict the input when the output is 35000, means find x ,when y = 35000,

Take common log on each side.

Apply product property of logarithm : .

Apply power property of logarithm :  .

Apply quotient property of logarithm : .

.

The nearest tenth of 9.699 is 9.7.

The input is .