Devin earns $$15\mathrm{.}30$ per hour at Jolly Creamery. Compute the pay under both the hundredth$-$hour and quarter$-$hour systems. The company is considering switching from a quarter$-$hour method to a hundredth$-$hour method. Devin submitted the following time card. $($Hint: Convert times to a $24-$hour clock for ease of computation$)$:

Required:

Calculate Devin$$s time for both the quarter$-$hour and hundredth$-$hour systems.

Calculate Devin$$s total pay in the hundredth$-$hour and quarter$-$hour systems.

Which is the most beneficial for Devin?