Question

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

Answers

GPT-4o mini
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.

2. **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**.

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