Tia lives at the corner of 4 th Street and 8 th Avenue. Lei lives at the corner of 12 th Street and 20 th Avenue. The fruit market is 3 fourths the distance from Tia’s home to Lei's home. x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 y is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 Where is the fruit market?
Answer
A
6 th Street and 11 th Avenue
B
9 th Street and 15 th Avenue
C
8 th Street and 14 th Avenue
D
10 th Street and 17 th Avenue
Explanation
The market is three-fourths of the way from Tia’s home to Lei’s home. The street number is 4 + (3/4)(12 − 4) = 10, and the avenue number is 8 + (3/4)(20 − 8) = 17. So the fruit market is at 10th Street and 17th Avenue, choice D.
AI-written and checked against the verified answer.