The formula b=28a is used in New England to estimate the minimum furnace output, b, BTUs, for a modern house with a square feet of flooring.

b=28a

b = 28 * 2300
b = 64,400

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To determine the minimum furnace output for a 2300 square feet modern house, we can use the formula b = 28a, where b represents the minimum furnace output in BTUs and a represents the square footage of the flooring.

a. To solve part a, we need to substitute the given square footage, 2300 ft^2, into the formula and solve for b.

b = 28a
b = 28 * 2300
b = 64,400 BTUs

Therefore, the minimum furnace output for a 2300 square feet modern house is 64,400 BTUs.

b. To solve the formula for a, we need to isolate the variable a.

b = 28a

To isolate a, we divide both sides of the equation by 28:

b/28 = a

So, the formula solved for a is a = b/28.