𝑅𝑡 is of the form 𝑅𝑡=𝑎𝑡3+𝑏𝑡−𝑐𝑡
It is given that 𝑅1=−30, 𝑅4=45, and 𝑅6=310.
A) Write a system of three equations that may be used to find the values of the constants 𝑎, 𝑏, and 𝑐 in the expression for 𝑅𝑡.
B) Find the values for 𝑎, 𝑏, and 𝑐 as decimal approximations.