Algebra 2 question hard :/

Question

The cost to deliver a package that weighs less than or equal to 5 pounds is $2.00. If a package weighs greater than 5 pounds and less than or equal to 10 pounds, the cost is $10.00. For packages heavier than 10 pounds, the cost is $20.00. Which function best represents the cost of shipping a package?

 

 

 

A) c(p) =  0 if 0 ≤ p ≤ 5

               5 if 5 < t ≤ 10

              10 if t > 10

 

B) c(p)= 2 if 0 ≤ p ≤ 5

             10 if 5 < t ≤ 10

 

 

C) c(p)= 2 if 0 ≤ p < 5

            10 if 5 ≤ t < 10

            20 if t ≥ 10

 

D) c(p)=  2 if 0 ≤ p ≤  5

              10 if 5 < t ≤ 10

              20 if t > 10

Answer 1

The answer is D because, given the three dollar amounts, only answer D provides the pertinent criteria which relates to each portion of the word problem.  The functions in D reveal correctly all of the parameters of the package weight at each different price point.