Question

lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. she spent less than $3. which graph represents lolas purchase? lolas purchase lolas purchase lolas purchase 5 5 10 4 4 9 3 3 8 2 2 7 1 1 6 2 4 6 8 10 12 14 16 18 2 4 6 8 10 12 14 16 18 2 4 6 8 10 12 14 16 18 number of pencils number of pencils number of pencils lolas purchase 10 9 8 7

Explanation:

Step1: Write cost inequality

$0.25x + 0.50y < 3$

Step2: Simplify the inequality

Multiply all terms by 4: $x + 2y < 12$
Rearrange to slope-intercept form: $y < -\frac{1}{2}x + 6$

Step3: Find intercepts

x-intercept (set $y=0$): $0 = -\frac{1}{2}x + 6 \implies x=12$
y-intercept (set $x=0$): $y=6$

Step4: Match to graph

The line connects (12, 0) and (0, 6), with the region below the line shaded (since $y$ is less than the linear expression).

Answer:

The third graph (with x-axis labeled "Number of Pencils" up to 18, y-axis labeled "Number of Erasers" up to 10, line connecting (12,0) and (0,6), and the area below the line shaded)