SOLUTION: 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=-50x+75, where x is the num

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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=-50x+75, where x is the num      Log On


   

Question 1057509: 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=-50x+75, where x is the number of hours since your friend left home. You live 90 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+-50x+%2B+75+
When +x+=+0+, the friend hasn't left yet
and +y+=+75+ miles
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When +x+=+75%2F50+, the friend has
arrived at restaurant
( +y+=+0+ )
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Let +x+ = number of hrs since you left home
( same as friend )
+k+ is unknown
+y+=+-k%2Ax+%2B+90+
+y+=+-k%2Ax++%2B+90+
Note that when +x+=+75%2F50+ then +y+=+0+
( arrived at restaurant )
+0+=+-k%2A%28+75%2F50+%29+%2B+90+
+k%2A%28+75%2F50+%29+=+90+
+k+=+%28+50%2F75+%29%2A90+
+k+=+%28+2%2F3%29%2A90+
+k+=+60+
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Your equation that represents your
distance from the restaurant is:
+y+=+-60x+%2B+90+
( when +x=0+, distance to restaurant is +90+ )