1. suppose that a and b vary inversely and that b= 5/4 when a = 8. write a function that models the inverse variation and find b when a = 15. (1 point) *
b = 10/a
b = 5/4a
b = 15/4a
b = 5/32a

A varies inversely as b, then
a = k/b, where k is a constant

b = 5/4 when a = 8, which means that,
8 = k/(5/4)
8 = 4k/5
k = 10

The function that models the inverse variation is b = 10/a

When a = 15, we have,
b = 10/15 = 2/3.

Ithink the answer is c