In 1995, there were 5,400 cell phone users in the city of Northridge. The following year, there were 7,830 cell phone users in the city. Let t represent the number of years since 1995. Assuming the number of cell phone users increased exponentially, which expression best models the number of cell phone users in Northridge over time? Answer choices

Question

In 1995, there were 5,400 cell phone users in the city of Northridge. The following year, there were 7,830 cell phone users in the city. Let t represent the number of years since 1995. Assuming the number of cell phone users increased exponentially, which expression best models the number of cell phone users in Northridge over time? Answer choices

a. 7,830(1.45)^t
b. 5,400(0.45)^t
c. 5,400(1.45)^t
d. 7,830(0.45)^t

According to this model, how many cell phone users did Northridge have in 2000? Round your answer to the nearest whole number.
Blank cell phone users

Answer 1

The correct expression that models the number of cell phone users in Northridge over time is choice c. 5,400(1.45)^t.

To find the number of cell phone users in Northridge in 2000, we need to determine the number of years since 1995 (the base year). Since 2000 is 5 years after 1995, we substitute t = 5 into the expression:

5,400(1.45)^5 ≈ 10,730

Therefore, Northridge had approximately 10,730 cell phone users in 2000.