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 only have 4 blooms.
C) When she only adds 1 ounce of fertilizer.
D) It is not possible for her to only have 4 blooms.

Answer 1

A) When she adds no fertilizer.

Explanation:

Since 4 is the y-intercept the x-value must be 0. This only happens when she adds no fertilizer..

Answer 2

She needs to add no fertilizer, option A)

Explanation:

Equation of a Line:

According to the conditions of the question, being x the ounces of fertilizer Olivia adds to the soil, and y the number of blooms each rose bush has, the relation between them is

`y = 1.345x + 4`

It's bee required to compute the value of x such that the roses have 4 blooms, thus

`1.345x + 4=4`

Solving for x

`1.345x=4-4=0`

`x=0`

This means she needs to add no fertilizer, option A)