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Dominic is going to drive from his house to City A without stopping. Dominic's house is 300 miles from City A and he plans to drive at a speed of 50 miles per hour. Write an equation for D, commaD, in terms of t, commat, representing Dominic's distance from City A tt hours after leaving his house.

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User Marquies
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Final answer:

The equation representing Dominic's distance from City A, D, in terms of time t, after leaving his house is D = 300 - 50t. 'D' represents the remaining distance to City A, and 't' represents the time in hours since Dominic's departure.

Step-by-step explanation:

The question asks us to write an equation for Dominic's distance from City A, D, in terms of the time t, hours after leaving his house. Since Dominic is driving at a constant speed, the relationship between distance, speed, and time is given by the formula: distance = speed × time. However, we need to express the distance D from City A, so we would start with the total distance from Dominic's house to City A (300 miles) and subtract the distance Dominic has traveled after t hours.

So, the equation will be: D = 300 - 50t.

This equation implies that at time t = 0 (when Dominic leaves his house), D is 300 miles (the starting distance from City A), and for each hour t that passes, Dominic will be 50 miles closer to City A.

User Erdi Aker
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