an internet company charges 500 pesos for the first 30 GB used in a month. every exceeding GB will then cost 30 but if the costumer reach a total of 50 GB and above, a flat rate of 1000 will be flat instead. write a piecewise function C(g) that represent the charge according to GB used?

For first 30 GB, a fix payment of 500 Pesos, equation would be:

C(g) = 500(g⁰), note: g⁰ = 1, where g ≤ 30

It is also equal to C(g) = 500 when g ≤ 30.

For 30 GB to 49 GB, 30 pesos each GB will be charged, equation would be:  

C(g) = 500 + 30(g-30)  

C(g) = 500 + 30g - 90

C(g) = 30g + 410, where 30 < g < 50

For 50 GB and above, the equation will be:  

C(g) = 1000(g⁰), where g ≥ 50

It is also equal to C(g) = 1000, when g ≥ 50.