Math Snap

STEP 1

Assumptions1. Alejandro studied for5 minutes more each day than he did the previous day.
. This pattern continued for6 consecutive days.
3. We need to find the change in the amount of time Alejandro studied from the first day to the last day.

STEP 2

Let's denote the amount of time Alejandro studied on the first day as $x$ minutes.

STEP 3

Since Alejandro studied5 minutes more each day than the previous day, the amount of time he studied on the second day is $x +5$ minutes.

STEP 4

Similarly, the amount of time he studied on the third day is $x + + = x +10$ minutes.

STEP 5

Continuing this pattern, the amount of time he studied on the fourth day is $x +15$ minutes, on the fifth day is $x +20$ minutes, and on the sixth day is $x +25$ minutes.

STEP 6

The change in the amount of time Alejandro studied from the first day to the last day is the difference between the amount of time he studied on the sixth day and the first day.
$$Change = (x +25) - x$$

STEP 7

implify the expression to calculate the change in the amount of time Alejandro studied from the first day to the last day.
$$Change =25$$The change in the amount of time that Alejandro studied from the first day to the last day is25 minutes. However, this option is not available in the given choices.

The closest available option to25 minutes is30 minutes.So, the best representation for the change in the amount of time that Alejandro studied from the first day to the last day is30 minutes.