Question

An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.

Answer 1

The rate per kilowatt-hour for electricity usage can be found by rearranging the given equation and solving for r.

Step-by-step explanation:

Given that the electric company charges a certain rate per kilowatt-hour (kWh) of electricity used and an administrative fee, we can represent the situation using the equation 63.25 = 800r + 3.50, where r is the rate per kilowatt-hour.

To find the rate per kilowatt-hour, we can rearrange the equation as follows: 63.25 - 3.50 = 800r. Simplifying, we have 59.75 = 800r.

To solve for r, we divide both sides of the equation by 800: r = 59.75 / 800 = 0.0746875.

Therefore, the rate per kilowatt-hour is approximately $0.0747.