Question

1. Chen was interested in predicting the population of Arizona based on year. She looked at the population per year from 1910 to 2019. She decided to use the re-express y by finding log of it in base e.

She got the equation log_e(y) = -50.44+0.0328596x.

Predict the population for 1997.

Round to the nearest whole number.

(Answers will vary some due to how many digits you carry through. Pick the closest answer.)

Group of answer choices

a. 7.99 million

b. 2.5 million

c. 3916156

d. 50.44

2. Ramon was interested in predicting the population of Arizona based on year. He looked at the population per year from 1910 to 2019. He decided to use the re-express y by finding log of it in base 10.

He got the equation log₁₀(y) = -21.90 +0.0142707x

Predict the population for 1987.

Round to the nearest whole number.

(Answers will vary some due to how many digits you carry through. Pick the closest answer.)

Group of answer choices

a. 636.44 million

b. 2856807

c. 21.9 million

d. 3856807

Answer 1

1.

Chen get the equation log_e(y) = -50.44 + 0.0328596x.

Here we want predict the population for 1997.

So plug x = 1997 in the above equation, we get

log_e(y) = -50.44 + ( 0.0328596 * 1997) = 15.1806212

Therefore, y = e^(15.1806212) = 3916156.32 = 3916156

Correct choice is option c. 3916156

2

Ramon get the equation log₁₀(y) = -21.90 + 0.0142707x

Here we want predict the population for 1987.

So plug x = 1987 in the above equation, we get

log₁₀(y) = -21.90 + 0.0142707 * 1987 = 6.4558809

Therefore, y = 10^(6.4558809) = 2856806.991= 2856807

Correct choice is option b. 2856806