B=11.5(132-n) The monthly electricity bill, B, in dollars, for a museum using n solar panels is given by the equation. What is the best interpretation of 132 in the equation? Choose 1 answer: (A) The museum is currently using 132 solar panels. (B) The monthly electric bill is 132 dollars without solar panels. (c) The electric bill is 0 dollars when the museum uses 132 solar panels. (D) The electric bill decreases by 132 dollars for each additional solar panel.

Question

B=11.5(132-n) The monthly electricity bill,  B, in dollars, for a museum using  n solar panels is given by the equation. What is the best interpretation of 132 in the equation? Choose 1 answer: (A) The museum is currently using 132 solar panels. (B) The monthly electric bill is 132 dollars without solar panels. (c) The electric bill is 0 dollars when the museum uses 132 solar panels. (D) The electric bill decreases by 132 dollars for each additional solar panel.

Bytelearn · Accepted Answer

Understand Equation Components: Analyze the equation B=11.5(132-n) to understand what each component represents. The equation gives us the monthly electricity bill B in dollars for a museum using n solar panels. The bill is calculated by multiplying 11.5 by the difference between 132 and the number of solar panels n.Consider Interpretations Given: Consider the interpretations given in the choices. (A) suggests that 132 is the current number of solar panels in use, which doesn't make sense in the context of the equation since n is the variable representing the number of solar panels.Examine Monthly Electric Bill: Examine choice (B) which suggests that the monthly electric bill is 132 dollars without solar panels. If n is zero (meaning no solar panels are used), then the bill would be B=11.5(132-0), which simplifies to B=11.5*132. This does not equate to 132 dollars, so this interpretation is incorrect.Evaluate Electric Bill Scenarios: Look at choice (C) which suggests that the electric bill is 0 dollars when the museum uses 132 solar panels. If we set n to 132, the equation becomes B=11.5(132-132), which simplifies to B=11.5*0. This results in B=0, which means the electric bill would indeed be 0 dollars if the museum uses 132 solar panels. This interpretation seems to be correct.Finally, consider choice (D) which suggests that the electric bill decreases by 132 dollars for each additional solar panel. This interpretation is not correct because the decrease in the bill for each additional solar panel is proportional to the coefficient 11.5, not 132. The number 132 represents a fixed number, not a rate of decrease.

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