Find the missing value
1.) If y varies directly as x and y= 15 when x= 25, find y when x= 10
2.) If y varies inversely as x and y = 10 when x = 5, find y when x =15
3.) If y varies jointly as x and z and y= 28 when x= 2 and z = 7, what is y when x=5 and z= 4?
4.) If x varies directly as the square of y and inversely as z and x =12 when y= 13 and z= 6, find x when y= 9 and 2= 6
Answers & Comments
1. y=kx
15=k(25)
15/25=25k/25
3/5=k
y=3/5(10)
y=3(2)
y=6
2. y=k/x
10=k/5
50=k
y=50/15
y=10/3
3. y=kxz
28=k(2)(7)
28=14k
28/14=14k/14
2=k
y=(2)(5)(4)
y=40
4. x=ky²/z
12=k(13)²/6
72= 169k
72/169=169k/169
72/169=k
x=(72/169)(9)²/6
x=972/169