While sorting some buttons, Marvin put 3 buttons in the first box, 18 buttons in the second box, 108 buttons in the third box, and 648 buttons in the fourth box. What kind of sequence is this?

Each box has 6 times as many buttons as the box before it.

Step-by-step explanation:

To find the sequence, you can divide the number of buttons in one box by the number of buttons in the box before it. For example, there are 18 buttons in the second box. Divide that by the 3 buttons in the first box. 18÷3=6, which means that the second box has 6 times as many buttons as the first box.

In order to verify the sequence, you need to follow these steps with the other boxes and the ones before them. So, divide the 108 buttons of the third box by the 18 buttons of the second box to get an answer of 6. Finally, divide the 648 buttons of the fourth box by the 108 buttons of the third box to get 6.

Since the answer of 6 was consistent across all of the boxes, the sequence is that there are 6 times more buttons in a box than the box before it.

I hope this helps! ☺

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step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is