Question

The cost (in dollars) of making n candles is represented by 9+7n . The cost (in dollars) of making n ornaments is represented by 5n+4 . Write a polynomial that represents how much more it costs to make n candles than n ornaments.

Additional Cost: ___

Answer 1

To find the additional cost of making n candles compared to n ornaments, we need to subtract the cost of making n ornaments from the cost of making n candles.

The cost of making n candles is 9 + 7n.

The cost of making n ornaments is 5n + 4.

So, the additional cost of making n candles compared to n ornaments is:

(9 + 7n) - (5n + 4) = 7n - 5n + (9 - 4) = 2n + 5

Therefore, the polynomial that represents the additional cost of making n candles compared to n ornaments is:

2n + 5.

Answer 2

Explanation:

To find the additional cost of making n candles compared to n ornaments, we need to subtract the cost of making n ornaments from the cost of making n candles.

The cost of making n candles is 9 + 7n, and the cost of making n ornaments is 5n + 4. Therefore, the additional cost of making n candles compared to n ornaments is:

additional cost = cost of making n candles - cost of making n ornaments

additional cost = (9 + 7n) - (5n + 4)

additional cost = 9 + 7n - 5n - 4

additional cost = 2n + 5

Therefore, the polynomial that represents the additional cost of making n candles compared to n ornaments is:

additional cost = 2n + 5