Question

this graph shows how the number of bottles of lotion quinn has left is related to the number of gift baskets she assembles. bottles of lotion remaining 100 90 80 70 60 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 gift baskets made what is the maximum number of gift baskets quinn can assemble if she wants to have 20 bottles of lotion left? 20 gift baskets 60 gift baskets 40 gift baskets 10 gift baskets

Explanation:

Step1: Find slope of the line

First, identify two points on the line: $(0, 100)$ and $(50, 0)$. Calculate the slope $m$:
$m = \frac{0 - 100}{50 - 0} = -2$

Step2: Write linear equation

Use the y-intercept $b=100$ (from point $(0,100)$) to form the equation $y = mx + b$, where $y$ is remaining lotion bottles, $x$ is gift baskets made:
$y = -2x + 100$

Step3: Solve for $x$ when $y=20$

Substitute $y=20$ into the equation and solve for $x$:
$20 = -2x + 100$
$-2x = 20 - 100$
$-2x = -80$
$x = \frac{-80}{-2} = 40$

Answer:

40 gift baskets