Residential customers who heat their homes with natural gas have their monthly bills calculated by adding a base service charge of $5.72 per month and an energy charge of 46.87 cents per hundred cubic feet. Write an equation for the monthly charge y (in dollars) in terms of x, the number of hundreds of cubic feet used.

Question

Residential customers who heat their homes with natural gas have their monthly bills calculated by adding a base service charge of $5.72 per month and an energy charge of 46.87 cents per hundred cubic feet. Write an equation for the monthly charge y (in dollars) in terms of x, the number of hundreds of cubic feet used. ​

Quizplus · Accepted Answer

The equation for the monthly charge y (in dollars) in terms of x, the number of hundreds of cubic feet used, can be written as y = 5.72 + 0.4687x. The base service charge of $5.72 is added to the energy charge of 46.87 cents per hundred cubic feet, which is equivalent to 0.4687 dollars per hundred cubic feet. Therefore, the correct equation is y = 5.72 + 0.4687x, which is option B.

Residential Customers Who Heat Their Homes with Natural Gas Have