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

Question

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

Accepted Answer

∻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.⚹◊What is the equation of the line given the points (0, 70) and (10, 10)?⍭ Generate me a similar question◊

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