Question

this graph shows how the number of yards of fabric that kendra has left is related to the number of dresses that she sews. how many dresses can kendra sew, at most, and still have 50 yards of fabric left? 5 dresses 6 dresses 8 dresses 7 dresses

Explanation:

Step1: Identify initial fabric amount

From the graph, when 0 dresses are sewn, fabric left is 90 yards: $b=90$

Step2: Calculate fabric per dress

When 10 dresses are sewn, fabric left is 40 yards. Slope $m=\frac{40-90}{10-0}=-5$

Step3: Set up linear equation

Let $x$ = dresses sewn, $y$ = fabric left. Equation: $y=-5x+90$

Step4: Solve for $x$ when $y=50$

Substitute $y=50$: $50=-5x+90$
Rearrange: $5x=90-50=40$
Solve: $x=\frac{40}{5}=8$

Answer:

8 dresses