Question

The relationship between the number of girls who are in the middle school and high school jazz bands is proportional. What is the constant of proportionality?

jazz bnd

Middle school total of girls 6 total members 15

High School total of girls8 total members 20


20 A. 3/10 B. 2/5 C. 8/15 D. 3/4

Answer 1

Option D 3/4

Explanation:

Let

x -----> the number of girls who are in the middle school

y -----> the number of girls who are in the high school jazz bands

k ----> constant of proportionality

we know that

If the relationship between the number of girls who are in the middle school and high school jazz bands is proportional

then

The ratio between the number of girls who are in the middle school and high school jazz bands is equal to the constant of proportionality

`k=(x)/(y)`

we have

`x=6, y=8`

substitute

`k=(6)/(8)`

simplify

`k=(3)/(4)`