The ratio of boys to girls in a school chorus is 6: 3. if 1/2 of the boys and 1/3 of the girls wore hats in the performance, what fraction of children wore hats?

6:3 boys to girls.
say for the sake of it, there are 60 boys and 30 girls.that makes 90 children.if 1/2 of the boys wore hats, then 30 boys wore hatsif 1/3 of the girls wore hats, then 10 girls wore hatsif 30 boys and 10 girls wore hats, then 40 children wore hatsif 40 children wore hats, then 40/90 children wore hats40/90 can be simplified to 4/94/9 children wore hats

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.