Question

Y varies partly as square at x and partly inversely as square root of x. When x=4,, y=13 and when x=9, y=79. Find the relationship between the variables

Answer 1

y=mx² + c 
             √x
13=16m + ^c/₂
79 =81m + ^c/₃ 
26 =32m + c
237= 243m+c
−211=−211m
      m=1
26=32+c
  c=−6
  y= x² −  6
              √x