The formula for Joseph's hourly rate, R, in dollars, as a function of t, the number of years he works at the grocery store, can be written as:
R = 10 + 0.50t
In this formula, the initial hourly rate is $10 and for each year he works, the hourly rate increases by $0.50. To find Joseph's hourly rate after a certain number of years, you can substitute the value of t into the formula and calculate R.