Question

the quarterly revenue of a social media app (in millions of dollars) from 2017 through 2022 can be modeled by the exponential function $f(x) = 7.900(2.935)^x$, where $x = 0$ represents the first quarter of 2017, $x = 1$ represents the first quarter of 2018, and so on. use this model to approximate the revenue for the app in the first quarter of each year, to the nearest million. (a) 2017 (b) 2020 (c) 2022 (a) the first quarter revenue for 2017 was approximately \\(\square\\) million. (round to the nearest integer as needed.)

Explanation:

Step1: Substitute \(x = 0\) into the function

Given \(f(x)=7.900(2.935)^{x}\), when \(x = 0\) (for 2017), we use the property \(a^{0}=1\) (\(a
eq0\)). So \(f(0)=7.900\times(2.935)^{0}\).

Step2: Calculate the value

Since \((2.935)^{0}=1\), then \(f(0)=7.900\times1 = 7.900\). Rounding \(7.900\) to the nearest integer, we look at the decimal part. The decimal part \(0.900\gt0.5\), so we round up.

Answer:

8