Answer: The required number of DVDs that he could buy is 5.
Step-by-step explanation: Given that Chris wants to order DVDs over the internet and each DVD cost $15.99 and shipping the entire order cost $9.99.
He can spend no more than $100.
We are to find the number of DVDs that he could buy.
Let x represents the number of DVDs that he could buy.
Then, according to the given information, we have
[tex]x\times 15.99+9.99\leq 100\\\\\Rightarrow 15.99x\leq 100-9.99\\\\\Rightarrow 15.99x\leq 90.01\\\\\Rightarrow x\leq \dfrac{90.01}{15.99}\\\\\Rightarrow x\leq 5.62.[/tex]
Thus, the required number of DVDs that he could buy is 5.