Question

this graph shows how the number of roses reagan, a florist, has left is related to the number of arrangements she puts together. what is the greatest number of arrangements reagan can put together if she wants to have 40 roses left? \boxed{} arrangements

Explanation:

Step1: Identify initial roses and slope

Initial roses (x=0): $70$. Slope: $\frac{20-70}{10-0} = -5$

Step2: Set up linear equation

Let $x$ = arrangements, $y$ = roses left. Equation: $y = -5x + 70$

Step3: Solve for x when y=40

Substitute $y=40$: $40 = -5x + 70$
Rearrange: $5x = 70 - 40$
Calculate: $5x = 30$ → $x = \frac{30}{5} = 6$

Answer:

6 arrangements