Mr. Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.

Homework
Number of days
Total number of questions
4
20
8
40
11
55
16
?

After 16 days, how many total homework questions have been assigned?
60
80
95
115

1 answer

To find the total homework questions assigned after 16 days based on the given ratio table, we can identify the pattern from the existing numbers.

From the table provided:

  • After 4 days, there are 20 total questions.
  • After 8 days, there are 40 total questions.
  • After 11 days, there are 55 total questions.

We can determine the number of questions assigned each day by examining the ratio of total questions to days.

  1. Finding Questions per Day:
    • For 4 days: \( \frac{20 \text{ questions}}{4 \text{ days}} = 5 \text{ questions/day} \)
    • For 8 days: \( \frac{40 \text{ questions}}{8 \text{ days}} = 5 \text{ questions/day} \)
    • For 11 days: \( \frac{55 \text{ questions}}{11 \text{ days}} = 5 \text{ questions/day} \)

So, we see that Mr. Salazar assigns 5 homework questions each day.

  1. Calculating for 16 Days: To find out how many questions are assigned after 16 days, we can multiply the number of questions assigned per day by the number of days: \[ \text{Total questions after 16 days} = 5 \text{ questions/day} \times 16 \text{ days} = 80 \text{ questions} \]

Thus, after 16 days, a total of 80 homework questions have been assigned.

The answer is 80.