This week, Theo walked x hours at a constant rate of 4 miles per hour and jogged y hours at a constant rate of 6 miles per hour. The total distance he walked and jogged this week was 36 miles. The relationship is modeled by this equation:

4x + 6y = 36.

Which statement is true about the graph of this relationship?

A. The graph is a line that goes through the points (9,0) and (0,6).

B. The graph is a line that goes through the points (6,0) and (0,9).

C. The graph is a line that goes through the points (-9,0) and (0,6).

D. The graph is a line that goes through the points (-6,0) and (0,9).

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Answer:

A

Step-by-step explanation:

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