Question

31. MODELING WITH MATHEMATICS

Answer 1

Answer:

(-2.2, -1.2) on the graph represents your school.

Step-by-step explanation:

By the given figure,

The point that represents the house = (-4, -2), ( let H )

And, the point that represents the theater = (5, 2)  ( let T )

Suppose S represents the point that shows the school,

According to the question,

S is between the line segment HT such that the distance from H to the S is one-fourth of the distance from S to the T,

i.e. the point S divides the segment HT into the ratio 1 : 4 internally,

By the segment formula,

The coordinates of point S,

$(\frac{1\times 5+4\times -4}{1+4}, \frac{1\times 2+4\times -2}{1+4})$

$=(\frac{5-16}{5}, \frac{2-8}{5})$

$=(\frac{-11}{5}, \frac{-6}{5})$

$=(-2.2, -1.2)$

Hence, (-2.2, -1.2) on the graph represents your school.