```
This graph shows how the number of tulips Danielle, a florist, has left is related to the number of arrangements she puts together.
Tulips remaining
What is the greatest number of arrangements Danielle can put together if she wants to have 40 tulips left?
4 arrangements
5 arrangements
6 arrangements
3 arrangements
```

Sign in to unlock the answer

Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

Identify the starting point and the slope of the line

step 2

The line starts at (0, 70) and ends at approximately (10, 10), which means the slope is $\frac{10 - 70}{10 - 0} = -6$

step 3

Use the slope-intercept form of the line, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept

step 4

Substitute the known values into the equation to get $y = -6x + 70$

step 5

Solve for $x$ when $y = 40$: $40 = -6x + 70$

step 6

Subtract 70 from both sides to get $-30 = -6x$

step 7

Divide both sides by -6 to find $x$: $x = 5$

Answer

5 arrangements

Key Concept

Linear relationship between two variables

Explanation

The number of arrangements Danielle can put together is determined by the linear relationship between the number of arrangements and the number of tulips remaining. By using the slope-intercept form of the line, we can solve for the number of arrangements when a certain number of tulips are left.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question