Suppose that y varies directly with x and y = 2 when x =16 write a direct variation equation that relates x and y find y when x =7

Respuesta :

Answer:

a) y ∝ x

y = kx

k = y/x

b) y = 7/8

Step-by-step explanation:

Suppose that y varies directly with x and y = 2 when x =16

a)write a direct variation equation that relates x and y

y varies directly with x

Hence:

y ∝ x

y = kx

Where k is constant of proportionality

y = 2 when x =16

Hence:

2 = 16k

k = 2/16

k = 1/8

b) find y when x =7

y = kx

k = 1/8

x = 7

y = 1/8 × 7

y = 7/8