Question

For 6 consecutive days, Alejandro studied for 5 minutes more each day than he did the previous day. Which best represents the change in the amount of time that Alejandro studied on the first day to the amount of time he studied on the last day?
–30 minutes
–11 minutes
11 minutes
30 minutes

Answer 1

Let's analyze the situation. If we let the amount of time Alejandro studied on the first day be \( x \) minutes, then the amount of time he studied on each of the next consecutive days can be expressed as follows:

- Day 1: \( x \)
- Day 2: \( x + 5 \)
- Day 3: \( x + 10 \)
- Day 4: \( x + 15 \)
- Day 5: \( x + 20 \)
- Day 6: \( x + 25 \)

To find the change in the amount of time studied from the first day to the last day, we calculate:

\[
\text{Change} = (\text{Time on Day 6}) - (\text{Time on Day 1})
\]

Substituting from our expressions:

\[
\text{Change} = (x + 25) - x = 25 \text{ minutes}
\]

This indicates that the amount of time he studied increased by 25 minutes over the 6 days.

Now, considering the options provided:

- –30 minutes
- –11 minutes
- 11 minutes
- 30 minutes

None of these options correctly represent the change of 25 minutes. It seems there might be an oversight. Please verify the options provided or the problem statement.

If you need to choose one of these specific values, it looks like none of the given options accurately represent the increase in study time. However, the change in study time from the first day to the last day is **25 minutes**, which does not match any listed options.