The iPad was introduced in 2010. Five years later (𝑡=5), 54.9 million iPads were sold. Three years after that (𝑡=8), 43.5 million iPads were sold. After that, Apple no longer shared sales numbers, but industry trackers believe that in 2023 (𝑡=13), 54.1 million iPads were sold.
The number of iPads sold can be modelled by 𝑆𝑡=𝑎𝑡3+𝑏𝑡2+𝑐𝑡+7.5, where 𝑆𝑡 is the number of iPads sold, in millions, 𝑡 years after the launch of the product.
Use the data given to write three equations that can be used to find the values for the constants 𝑎, 𝑏, and 𝑐 in the expression for 𝑆𝑡.
Find the values of 𝑎, 𝑏, and 𝑐 as decimal approximations.