Travis wants to buy some cds over the internet. each cd costs $8.01 and has a shipping cost of $9.95 per order. if travis wants to spend no more than $50 for his cds, which inequality shows the maximum number of cds, p, that he can buy?

9.95p − 8.01p ≤ 50, so p ≤ 2

9.95p + 8.01p ≤ 50, so p ≤ 4

9.95 + 8.01p ≤ 50, so p ≤ 5

9.95 − 8.01p ≤ 50, so p ≤ 6

To concept of the problem above is that the total cost of the CDs and plus the shipping fee should be less than or equal to 50. The total cost of the p CDs given that each costs $8.01 is 8.01p. The shipping fee is $9.95. The inequality would be,
 
                                     9.95 + 8.01p ≤ 50

Solving for p,
                                
                                                8.01p ≤ 50 - 9.95
 
                                                       p ≤ 5

Therefore, the answer is the third choice. 

31 is prime. and it’s prime factorization is just 31.