Let's assume that on the first day, there were N biscuits in the box.
We know that Anchor gets three biscuits a day, so on the first day, Bryan had N - 3 biscuits left in the box after giving Anchor his daily portion.
On the second day, Bryan used N - 6 biscuits (3 biscuits for the second day, plus the biscuits left in the box from the first day). After giving Anchor his daily portion, Bryan had N - 6 - 3 = N - 9 biscuits left in the box.
We can see a pattern emerging. On the third day, Bryan had N - 12 biscuits left in the box.
Following this pattern, on the tenth day, Bryan would have N - 3 * (10 - 1) = N - 21 biscuits left in the box, since Anchor gets 3 biscuits a day for 10 days.
We are given that on the tenth day, Bryan counted 106 biscuits left in the box. We can therefore set up the equation:
N - 21 = 106
By rearranging the equation, we can write it in slope-intercept form:
N = 21 + 106
N = 127
Therefore, the equation in slope-intercept form that represents the number of biscuits left in the box at any given day is:
N = 127.
Bryan bought a box of biscuits for his dog, Anchor. Anchor always gets three biscuits a day. At the start of the tenth day after opening the box, Bryan counts 106 biscuits left in the box. Write an equation to represent the number of biscuits left in the box in slope intercept form of the time, in days. Be sure to define your variables.
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