contestada

Seattle City Light charges residents for electricity on a daily basis. There is a basic daily charge of 11.57 cents. For each day the first 10 kWh cost 4.59 cents per kWh and any additional kWhs are 9.55 cents per kWh. Write a piece wise defined function to describe the usage rate.

Respuesta :

Answer:

y=[tex]\left \{ {{11.57+4.59x where x\leq 10} \atop {11.57+9.55x where x>10}} \right.[/tex]

Step-by-step explanation:

Here it is given basic daily charge is 11.57 cents.

Now, the variable charge is 4.59 cents per kWh when consumption is less than or equal to 10 kWh.

So, first piece is using total cost = fixed cost + variable cost.

So, y= 11.57+4.59x when x [tex]\leq[/tex] 10

Now,  if the consumption goes more than 10 kWh, the unit rate is 9.55 cents per unit. The equation for total cost is y=11.57+9.55x where x>10

So

Ver imagen ConcepcionPetillo
Q&A Education