Question

Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 5/2 min. each. Drag and drop the answer into the box. Answer What statement describes the solution to this inequality?

Answer 1

Dennis can complete fewer than 24 questions

I took the test on k-12 and got it correct, hopes this helps

Answer 2

If there are less than 26 questions in homework, Dennis will complete his homework in less than 70 minutes.

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 =
`(5)/(2)\text{ minutes}`

Let x be the total number of questions in the homework.

Thus, total time taken to complete the homework is:

`10 + (5)/(2)(x-2)`

Now, this time should be less than 70 minutes.

Thus, we can write the inequality:

`10 + (5)/(2)(x-2) < 70\\\\20 + 5(x-2) < 140\\4 + (x-2) < 28\\\Rightarrow x + 2 < 28\\\Rightarrow x < 26`

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.