A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars)
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.)
(a) Complete the following table using the information provided above.
| kWhkWh | 0 | 5 | 10 | 15 | 20 |
| cost (dollars)cost (dollars) | |||||
| kWhkWh | 25 | 30 | 35 | 40 | |
| cost (dollars)cost (dollars) |
(b) We can define a
What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)?
g(x)=g(x)= for A =
h(x)=h(x)= for B =
Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf .
(c) Using the above function, what is the cost of 26 kWh? dollars.
(d) For 3 dollars, what is the maximum kWh usage for one day?
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