Question

Tia lives at the corner of 4th street and 8th avenue. lei lives at the corner of 12th street and 20th avenue. the fruit market is three-fourths the distance from tia’s home to lei's home. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 where is the fruit market? 6th street and 11th avenue 10th street and 17th avenue 9th street and 15th avenue 8th street and 14th avenue

Answer 1

The fruit market is located at the corner of 6th street and 11th avenue.

Step-by-step explanation:

To determine the location of the fruit market, we need to find the three-fourths point along the path from Tia's home to Lei's home. Since Tia lives at the corner of 4th street and 8th avenue, which is 6 blocks east and 4 blocks north of the origin, and Lei lives at the corner of 12th street and 20th avenue, which is 10 blocks east and 12 blocks north, we can calculate the distances:

X1 = 6, X2 = 10, Y1 = 4, Y2 = 12.

Using the formula:

X = (m/n) * (X2 - X1),

Y = (m/n) * (Y2 - Y1),

where m and n are the denominators of the fractional distance (three-fourths in this case), we plug in the values to get:

X = (3/4) * (10 - 6) = (3/4) * 4 = 3,

Y = (3/4) * (12 - 4) = (3/4) * 8 = 6.

Therefore, the fruit market is located at the corner of 6th street and 11th avenue.