Question

jacob tracked his monthly expenses for entertainment, utilities, and gas over three months. the data is as follows:which of the stacked bar graphs correctly represents jacobs monthly expenses?

Explanation:

Step1: Calculate total expenses for Jan

Add Jan's entertainment ($100$), utilities ($150$), and gas ($50$): $100 + 150+50=300$

Step2: Calculate total expenses for Feb

Add Feb's entertainment ($120$), utilities ($140$), and gas ($30$): $120 + 140+30=290$

Step3: Analyze first graph

Check if Jan's segments ($100 + 150+50$) and Feb's segments ($120 + 140+30$) match the first graph's structure. The first graph has correct segment - wise breakdown for both months.

Step4: Analyze second graph

The second graph shows only one - colored segment for each month, not distinguishing entertainment, utilities, and gas. So it's incorrect.

Step5: Analyze third graph

In the third graph, the segment lengths do not correspond to the calculated values ($300$ for Jan and $290$ for Feb) when considering the scale on the x - axis (e.g., if each unit on x - axis represents a certain amount, the sum of segments in Jan and Feb of the third graph does not match our calculated totals).

Answer:

The first graph (the one at the top of the three graphs presented in the problem)