You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=-70x+140, where x is the number of hours since your friend left home. You live 80 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant.

Question

Mathematics

Sanaa Peck

22 October, 03:55

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=-70x+140, where x is the number of hours since your friend left home. You live 80 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant.

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Answers (1)

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Anya Shah · Answer 1

y = 80 - 40x

Step-by-step explanation:

The given equation shows the friend arrives at the restaurant (y=0) when x=2. That is, half the initial distance to the restaurant is covered in each hour of travel time.

If I take 2 hours to travel the 80 miles from my house, my distance will decrease at the rate of 40 miles per hour. My distance from the restaurant can be represented by ...

... y = - 40x + 80