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​Sally drives from Turlock to Los Angeles at an ​average speed of 60 miles per hour. Turlock is ​approximately 300 miles from Los Angeles. Which ​of the following graphs could give Sally’s ​approximate distance d, in miles from Los Angeles, ​ in terms of time t,in hours? ​​

User Toma
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Final answer:

The graph representing Sally's distance from Los Angeles should depict a linear decrease from the point (0, 300) with a slope of -60. The line starts at 300 on the y-axis and consistently drops 60 units for every hour of travel time.

Step-by-step explanation:

To find which graph could represent Sally's distance from Los Angeles in terms of time, we first determine the equation for Sally's journey. Since Sally drives at an average speed of 60 miles per hour, the distance she has driven after t hours is given by the equation d = 300 - 60t, where 300 is the initial distance from Los Angeles, and 60t represents the distance traveled in t hours.

The graph of this equation would be a straight line starting at the point (0, 300) and decreasing with a slope of -60, which represents the rate at which Sally approaches Los Angeles. This line shows how Sally's distance from Los Angeles decreases over time at a constant rate.

Therefore, the appropriate graph should start at 300 on the y-axis and slope downwards to the right, crossing the y-axis at points that are 60 units lower for each additional hour on the x-axis. This will show a linear decrease in distance over time, which corresponds to Sally's constant speed of 60 miles per hour.

User Racingcow
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