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The ordered pair (1,0.5) lies on a graph that depicts the proportional relationship between the number of television shows, x, and time, y, in hours. What does the point represent?

User Lenka
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Final answer:

The ordered pair (1,0.5) indicates that 1 television show corresponds to 0.5 hours (or 30 minutes) spent watching, illustrating a proportional relationship between the number of shows and time.

Step-by-step explanation:

The ordered pair (1,0.5) on a graph that represents a proportional relationship between the number of television shows (x) and time (y), in hours indicates that for every 1 television show watched, 0.5 hours (or 30 minutes) of time is spent. This point on the graph reflects that direct proportionality between the two variables.

Since the relationship is proportional, the equation for the straight line is of the form y = mx + b, where m is the slope representing the rate of change between y and x, and b is the y-intercept. In this case, the y-intercept is zero (b = 0), as per the definition of a proportional relationship. Thus, the equation simplifies to y = mx. The slope (m) can be determined by the ratio of y to x, which is 0.5/1 in this instance, indicating a consistent increase in time spent for each additional television show watched.

User Valter Minute
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