benefits increase by $$130$ per month for each year after $62$ they delay starting their benefits. Note that the monthly benefit does not increase if the starting age is after $70$

a$.$ Write the linear function that models the monthly benefit $y$ as a function of age $x$ at which benefits are started, for the starting ages from $62$ to $70$

b$.$ What monthly benefit would these recipients receive if they started receiving benefits at age $70?$