Question

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.
b every bush will have 4 blooms.
c when she only adds 1 ounce of fertilizer.
d it is not possible for her to only have 4 blooms.

Explanation:

Step1: Understand the linear equation

The equation is \( y = 1.345x + 4 \), where \( y \) is the number of blooms and \( x \) is the ounces of fertilizer. We need to find when \( y = 4 \).

Step2: Substitute \( y = 4 \) into the equation

Substitute \( y = 4 \) into \( y = 1.345x + 4 \):

$$ 4 = 1.345x + 4 $$

Step3: Solve for \( x \)

Subtract 4 from both sides:

$$ 4 - 4 = 1.345x + 4 - 4 $$

$$ 0 = 1.345x $$

Divide both sides by 1.345:

$$ x = \frac{0}{1.345} = 0 $$

This means when \( x = 0 \) (no fertilizer added), \( y = 4 \). So the correct option is A. When she adds no fertilizer.

Answer:

A. When she adds no fertilizer