Question

The cost C (in dollars) of supplying recycling bins to p% of the population in a rural township is modeled by 25,000p. (0 < p < 100) 100% of the population.

A) C = 25p
B) C = 2500p
C) C = 25000p
D) C = 2500000p

Answer 1

The correct model for the cost of supplying recycling bins to p% of the population is B) C = 250p, which results from simplifying the given model 25,000p/100.

Step-by-step explanation:

The cost C (in dollars) of supplying recycling bins to p% of the population in a rural township is modeled by the expression 25,000p/100. This simplifies the expression to C = 250p, which means that for every 1% of the population served, it costs $250.

If you compare the simplified model with the provided options, the correct answer is clearly B) C = 250p because the other options either do not include the correct unit conversion from percentage to a decimal (100% = 1 as a decimal) or they represent different scales of cost not aligned with the question.