The formula b=34a is used in New England to estimate the minimum furnace output, b, in BTUs, for a modern house with a square feet of flooring.
a)Determine the minimum furnace output for a 16000 ft^2 modern house
b)Solve for formula a
a. Wow, is that a palace? Most city lots don't have 16,000 sq.ft! Anyway,
b=34*16000 BTU
=544,000 BTU
(costs $5/hour to heat the place, or palace).
b=34a
b/34=a
a=b/34 sq.ft.
a) To determine the minimum furnace output for a 16000 ft^2 modern house, we can use the formula b = 34a, where b represents the minimum furnace output in BTUs and a represents the square feet of flooring.
Let's substitute the value of a as 16000 ft^2 into the formula:
b = 34 * 16000
To calculate this, we multiply 34 by 16000:
b = 544000
Therefore, the minimum furnace output for a 16000 ft^2 modern house is 544000 BTUs.
b) We need to solve for formula a in the equation b = 34a.
To isolate a, we can divide both sides of the equation by 34:
b/34 = a
This gives us the value of a in terms of b.
Therefore, the formula for a would be a = b/34.
a) To determine the minimum furnace output for a 16000 ft^2 modern house, we can use the given formula b = 34a.
First, substitute the given value of a into the equation:
b = 34 * 16000
Next, calculate the product:
b = 544000 BTUs
So, the minimum furnace output for a 16000 ft^2 modern house is 544000 BTUs.
b) To solve the formula for a, we need to rearrange the equation.
Starting with the formula b = 34a, divide both sides of the equation by 34:
b/34 = a
Now, the formula is solved for a. This means that to get the value of a, we need to know the value of b and divide it by 34. The resulting value will be the estimated minimum modern house square footage.
Keep in mind that this formula is designed specifically for estimating furnace output in New England, so it may not be accurate for other regions or factors affecting heating requirements.