Answer:
see the explanation
Step-by-step explanation:
<em><u>The question is </u></em>
Identify the domain and the range, using words and inequalities
Let
x -----> the number of kilowatt-hours (kWh) of electricity per month
y ----> the price per month
we know that
Part 1) For the value of x between 0 kWh and 400 kWh
![0\ kWh \leq x < 400\ kWh](https://tex.z-dn.net/?f=0%5C%20kWh%20%5Cleq%20x%20%3C%20400%5C%20kWh)
The price is equal to
![y=\$30](https://tex.z-dn.net/?f=y%3D%5C%2430)
therefore
The domain is the interval ------> [0,400)
The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh
The range is ($30)
The range is equal to $30
Part 2) For the value of x equal to 400 kWh or more per month
![x\geq 400\ kWh](https://tex.z-dn.net/?f=x%5Cgeq%20400%5C%20kWh)
The domain is the interval -----> [400, infinite)
The domain is all real numbers greater than or equal to 400 kWh
The price is
![y=0.097x](https://tex.z-dn.net/?f=y%3D0.097x)
<em>Find the range</em>
For x=400 kWh
![y=0.097(400)=\$38.8](https://tex.z-dn.net/?f=y%3D0.097%28400%29%3D%5C%2438.8)
so
![y\geq \$38.8](https://tex.z-dn.net/?f=y%5Cgeq%20%5C%2438.8)
The range is the interval -----> [38.8, infinite)