At the beginning of a population study, a city had 240,000 people. Each year since, the population has grown by 9.7%.

Lett be the number of years since start of the study. Let y be the city's population.

Write an exponential function showing the relationship between y and t.

Question

Stanley Hess

Mathematics

30 June, 11:34

At the beginning of a population study, a city had 240,000 people. Each year since, the population has grown by 9.7%.

Lett be the number of years since start of the study. Let y be the city's population.

Write an exponential function showing the relationship between y and t.

+3

Answers (1)

Know the Answer?

Marcel Lang · Answer 1

y (t) = 240,000 x (1 + 0.097) ∧t

Step-by-step explanation:

y (1) = 240,000 x (1 + 0.097)

y (2) = 240,000 x (1 + 0.097) x (1 + 0.097) = 240,000 x (1 + 0.097) ²

y (3) = 240,000 x (1 + 0.097) x (1 + 0.097) x (1 + 0.097) = 240,000 x (1 + 0.097) ³

y (t) = 240,000 x (1 + 0.097) ∧t

At the beginning of a population study, a city had 240,000 people. Each year since, the population has grown by 9.7%.Lett be the number of years since start of the study. Let y be the city's population.Write an exponential function showing the relationship between y and t.

At the beginning of a population study, a city had 240,000 people. Each year since, the population has grown by 9.7%.

Lett be the number of years since start of the study. Let y be the city's population.

Write an exponential function showing the relationship between y and t.