Answer:
If there are less than 26 questions in homework, Dennis will complete his homework in less than 70 minutes.
Step-by-step explanation:
We are given the following in the question:
Dennis has less than 70 minutes to spend on some homework questions.
Time spent on first two questions = 10 minutes
Time spent on remaining questions = [tex]\frac{5}{2}\text{ minutes}[/tex]
Let x be the total number of questions in the homework.
Thus, total time taken to complete the homework is:
[tex]10 + \dfrac{5}{2}(x-2)[/tex]
Now, this time should be less than 70 minutes.
Thus, we can write the inequality:
[tex]10 + \dfrac{5}{2}(x-2) < 70\\\\20 + 5(x-2) < 140\\4 + (x-2) < 28\\\Rightarrow x + 2 < 28\\\Rightarrow x < 26[/tex]
The above inequality is the required inequality.
Thus, if there are less than 26 questions in homework, Dennis will complete his homework in less than 70 minutes.
Answer:
Dennis can complete fewer than 24 questions
I took the test on k-12 and got it correct, hopes this helps
