Let's Practice One of These
Tangier Island is an island in Virginia that was once home to over 1000 residents. Unfortunately, the island has been shrinking since approximately 1800. In 1850 (𝑡=50), the island had an area of 2163 acres. In 2013 (𝑡=213), the island had an area of 789 acreas.
The area of Tangier Island can be modelled by the function 𝑆𝑡=𝑎𝑡1.6+𝑏.
A(i) Use the given data to write a system of equations that can be used to find values for the constants 𝑎 and 𝑏.
A(ii) Find values for 𝑎 and 𝑏 as decimal approximations.