Question

Suppose that y varies directly with x , and y=20 when x=32

write a direct variation equation that relates x and y

find y and x=24

Answer 1

[AI-generated answer — Bot GPT 3.5]

The direct variation equation is y = kx, where k is the constant of proportionality.

To find k, we can use the given values y=20 and x=32:
20 = k(32)
k = 20/32 = 5/8

Therefore, the direct variation equation is y = (5/8)x

To find y when x=24, we substitute x=24 into the equation:
y = (5/8)(24)
y = 15

Therefore, when x=24, y=15.