Question

this graph shows how the number of chocolates francesca has left is related to the number of gift baskets she assembles. up to how many gift baskets can francesca assemble, and still have 2 chocolates left? 7 gift baskets 9 gift baskets 6 gift baskets 8 gift baskets

Explanation:

Step1: Identify line equation form

The graph is a linear relationship, so we use $y = mx + b$, where $y$ = chocolates remaining, $x$ = gift baskets assembled, $m$ = slope, $b$ = y-intercept.

Step2: Find y-intercept and slope

From the graph, $b = 10$ (when $x=0$, $y=10$). Slope $m = \frac{0-10}{10-0} = -1$.

Step3: Write full linear equation

Substitute $m$ and $b$: $y = -x + 10$

Step4: Solve for $x$ when $y=2$

Set $y=2$, so $2 = -x + 10$. Rearrange: $x = 10 - 2 = 8$

Answer:

8 gift baskets