Question

the graphs and equations represent the relationships between the number of hours spent babysitting and the dollars in brias, aarons, and carlas accounts. do all three lines have a slope of 12? bria: $d = 8 + 12x$; aaron: $d = 0 + 12x$; carla: $d = -4 + 12x$; options: yes, no

Explanation:

Step1: Recall slope-intercept form

Linear equations follow $y = mx + b$, where $m$ = slope.

Step2: Analyze Bria's equation

Bria: $d = 8 + 12x$, so slope $m=12$.

Step3: Analyze Aaron's equation

Aaron: $d = 0 + 12x$, so slope $m=12$.

Step4: Analyze Carla's equation

Carla: $d = -4 + 12x$, so slope $m=12$.

Step5: Verify with graph

For each line, slope = $\frac{\Delta d}{\Delta x}$. E.g., Aaron: $\frac{12-0}{1-0}=12$; Carla: $\frac{8-(-4)}{1-0}=12$; Bria: $\frac{20-8}{1-0}=12$.

Answer:

Yes