The function C=320+x

Question

can be used to find the concentration of fertilizer in a mixture that contains a concentration of fertilizer of 15% for 20 ounces of water when x ounces of water are added to the mixture.

What do the key features of the function reveal?

(1 point)
Responses

The function is a decreasing function, so as the number of ounces of water added to the mixture increases, the concentration of fertilizer decreases but not at a constant rate.
The function is a decreasing function, so as the number of ounces of water added to the mixture increases, the concentration of fertilizer decreases but not at a constant rate.

The domain is x≤0
, so only negative amounts of water are being added to the mixture.
The domain is x is less than or equal to 0 , so only negative amounts of water are being added to the mixture.

There is a horizontal asymptote at C=0
which indicates that when the amount of water added to the mixture increases, the concentration of fertilizer is 0%.
There is a horizontal asymptote at cap c is equal to 0 which indicates that when the amount of water added to the mixture increases, the concentration of fertilizer is 0%.

The function is an increasing function, so as the number of ounces of water added to the mixture increases, the concentration of fertilizer increases but not at a constant rate.

Answer 1

To analyze the function \( C = 320 + x \) in the context of the concentration of fertilizer, let's break down its components:

1. The function itself implies a linear relationship between \( C \) (the concentration of fertilizer) and \( x \) (the ounces of water added).

2. As \( x \) increases, \( C \) also increases. This suggests that the function is in fact an increasing function, not a decreasing one.

3. The function does not have a horizontal asymptote at \( C = 0 \); instead, since \( C \) continues to increase as more water is added, it does not approach 0.

4. The domain of the function is best interpreted based on its physical context. In this case, \( x \) can represent any non-negative value (in ounces), as adding more water is a common scenario in mixtures.

Given this analysis, the correct response regarding the function \( C = 320 + x \) is:

• The function is an increasing function, so as the number of ounces of water added to the mixture increases, the concentration of fertilizer increases but not at a constant rate.

The other options regarding the function being decreasing, having a domain of \( x \leq 0 \), or having a horizontal asymptote at \( C = 0 \) are not accurate based on the linear nature of the function provided.