D is partly constant and partly varies as V when V = 40,D= 150 and when V 54 D=192.(a) find the formula connecting D and x (b) hence find D when V = 73.
AAAaannndd the bot gets it wrong yet again!
d = a+bv
using the given data, we have
a+40b = 150
a+54b = 192
that gives us
b=3, a=30
so d = 3v+30
when v = 73, d = 219+30=249
(a) The formula connecting D and V is D = 150 + (192 - 150) × (V - 40)/(54 - 40).
(b) When V = 73, D = 150 + (192 - 150) × (73 - 40)/(54 - 40) = 206.