Olivia is growing roses and keeps track of how much fertilizer (in ounces) she adds to the soil and how many blooms each rose bush has. She finds a linear relationship that can be modeled by the equation y+1.345x+4. When will Olivia only have 4 blooms?
A When she adds no fertilizer.When she adds no fertilizer.
B Every bush will only have 4 blooms.Every bush will only have 4 blooms.
C When she only adds 1 ounce of fertilizer.When she only adds 1 ounce of fertilizer.
D It is not possible for her to only have 4 blooms.
To find when Olivia will only have 4 blooms, we need to solve the equation y = 4.
Substituting 4 for y in the equation y + 1.345x + 4, we get:
4 + 1.345x + 4 = 0
1.345x + 8 = 0
1.345x = -8
x = -8 / 1.345
x ≈ -5.96
So, when Olivia adds approximately -5.96 ounces of fertilizer, she will only have 4 blooms.
This is not a realistic scenario since the amount of fertilizer cannot be negative.
Therefore, the correct option is D: It is not possible for her to only have 4 blooms.