Answer:
![c(x) = 225 + 3.50x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ieih2djcbh8nibr0hr30dhahid7tozzdjb.png)
The amazon stock increases 21 units during the first 6 hours.
Explanation:
We are given the following in the question:
Value of share of Amazon stock = 225 units
Rate of increase of stock = 3.50 units per hour during the first six hours
Thus, the value of share stock can be given by the equation:
![c(x) = 225 + 3.50x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ieih2djcbh8nibr0hr30dhahid7tozzdjb.png)
where x is the number of hours.
During first six hours, the value of stock is given by putting x = 6 in the equation:
![c(6) = 225 + 3.50(6) = 246](https://img.qammunity.org/2021/formulas/mathematics/high-school/h1848qkyj7jb8kk8uj6mlcb3nz4wsa1dtx.png)
Increase during first 6 hours =
![=c(6) - c(0)\\=246-225\\=21](https://img.qammunity.org/2021/formulas/mathematics/high-school/jtwn4oejhex4h631skve32dro8sriotrei.png)
Thus, the amazon stock increases 21 units during the first 6 hours.