To determine when Olivia will only have 4 blooms based on the linear relationship described by the equation, we need to know the specific equation that relates the amount of fertilizer added to the number of blooms. However, since the equation is not provided in your question, we can't do an exact calculation.
That said, we can analyze the answer choices conceptually:
A) "When she adds no fertilizer." - This suggests that at 0 ounces of fertilizer, she will have 4 blooms. This could be true if the equation is structured that way, but without the equation, we can't confirm.
B) "Every bush will only have 4 blooms." - This option implies that regardless of the amount of fertilizer, all plants will yield 4 blooms, which can only be true if the relationship is flat. This would be unusual in a linear model.
C) "When she only adds 1 ounce of fertilizer." - This implies that at 1 ounce, the equation yields exactly 4 blooms, which could also be true depending on the linear equation.
D) "It is not possible for her to only have 4 blooms." - This suggests that the linear equation does not allow for the outcome of 4 blooms at any level of fertilizer, which could be true if the linear relationship shows that the number of blooms is always greater than 4.
Since we lack the specific equation, we cannot definitively choose the correct option. However, if you know anything about the linear equation itself, such as its slope and intercept, you could determine which option is correct.
If the relationship indicates that there is a specific point at which blooms equal 4, then option C or A might be true. If the relationship never allows for 4 blooms, then D would be correct.
Without the explicit equation, the most cautious answer could be option D, indicating that it may not be possible, but depending on the equation, options A or C could also be valid. Please check the original problem for the equation to make a concrete determination.
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