I don't get L(x) and I have tried it like 20 times literally please help me!

The electricity rates charged by Monroe Utilities in the summer months are as follows:

Base Charge = $ 8.5

First 800 kWh or less at $ 0.05/kWh

Over 800 kWh at $ 0.08/kWh

The base is a fixed monthly charge, independent of the kWh(kilowatt-hours) used during the month.

(A) Complete the piecewise definition of the monthly charge for a customer who uses kWh in a summer month.

S(x), 0 L(x), x> a

i figured out s(x) which is 8.5+(x*0.05) but i dont get L(x)

so you have S(x)=8.5+(x*.05) 0_800
then L(x) is either when you go over 800 all of it costs .08 which would be just like S(x)
L(x)=8.5+(x*.08) 800 otherwise it is sort of the same thing but two parts
L(x)=8.5+(800*.05)+([x-800]*.08) 800 so you have the original 8,5 then the first charge of .05 and then the amount after 800
so x=801 would give you the original plus the 800 and an extra 1 hour at the higher price

hope thats what u needed

good luck