Question

3 multiple choice 4 points an organic farm controls pests with the number of praying mantis larvae released on the farm by the equation p(n)=1000 - 2.5n where n is the number of larvae released per acre and p is the number of pests per acre. which of these statements most accurately describes this function? more praying mantis larvae lead to more pests. the pests can only be minimized, never exterminated. organic farming can never be cost effective. as n gets to some value, p should go to zero. 4 multiple choice 4 points long distance charges to a particular region cost 17¢ per minute. in addition, there is a connection charge of 63¢. which formula best describes the cost c in cents of a long distance phone call lasting m minutes? c = 63+m + 17 c = 63(m + 17) c = 17m+63 c = 17+63m

Explanation:

Question 3

Step1: Analyze the function $p(n)=1000 - 2.5n$

The coefficient of $n$ is - 2.5, which means as $n$ (number of larvae) increases, $p$ (number of pests) decreases.

Step2: Consider when $p = 0$

Set $p(n)=0$, then $1000 - 2.5n=0$. Solving for $n$ gives $n=\frac{1000}{2.5}=400$. So when $n = 400$, $p$ goes to zero.

Step1: Identify the components of the cost

The connection - charge is a fixed cost of 63 cents. The per - minute charge is 17 cents per minute. For $M$ minutes, the cost due to the minutes is $17M$ cents.

Step2: Form the cost formula

The total cost $C$ is the sum of the fixed connection charge and the cost based on the number of minutes. So $C = 17M+63$.

Answer:

As $n$ gets to some value, $p$ should go to zero.

Question 4