Question

Jacob was given a box of assorted chocolates for his birthday. Each night, Jacob treats himself to some chocolates. Let CC represent the number of chocolates remaining in the box tt days after Jacob's birthday. The table below has select values showing the linear relationship between tt and C, .C. Determine how many nights after Jacob's birthday it would take until the box had 8 chocolates remaining.

Answer 1

2 nights

Explanation:

Given that there is a linear relationship between chocolates remaining (C) and nights after Jacob's birthday (t), you want to know the value of t when C=8.

Table

The table gives you the following values:

• t = 1, C = 10
• t = 3, C = 6

We notice that 8 is halfway between 10 and 6. This means the value of t we want is halfway between 1 and 3. That is, for t = 2, C = 8.

2 nights after Jacob's birthday, 8 chocolates will remain.

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Additional comment

The linear relationship could be written as the equation C = 12 -2t. The inverse relation is t = (12 -C)/2. For C = 8, this is t = (12 -8)/2 = 2, as above.

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