Question

The formula \(B = 30a\) is used to estimate the minimum furnace output, B, in BTUs, for a modern house with the amount of square feet of flooding, \(a\). Determine the minimum furnace output for a 1600-ft² modern house

A) 48,000 BTUs
B) 32,000 BTUs
C) 1,600 BTUs
D) 800 BTUs

Answer 1

The minimum furnace output for a 1600 square feet modern house, using the formula B = 30a, is 48,000 BTUs, making option A the correct answer.

Step-by-step explanation:

The correct answer is option A, which is 48,000 BTUs. To determine the minimum furnace output for a house, you can use the formula B = 30a, where B is the furnace output in BTUs, and a is the square feet of flooring. For a modern house with 1600 square feet of flooring, the calculation would be:

1. Replace a with 1600 in the formula: B = 30 times 1600.
2. Multiply 30 by 1600, which results in 48,000.

Therefore, the minimum furnace output for a 1600-ft² modern house is 48,000 BTUs.

To determine the minimum furnace output for a 1600-ft² modern house, we can use the formula B = 30a, where B represents the furnace output in BTUs and a represents the amount of square feet of the house.

Substituting the given value of a (1600-ft²) into the formula, we get B = 30 * 1600 = 48,000 BTUs.

Therefore, the minimum furnace output for a 1600-ft² modern house is 48,000 BTUs.