Inverse proportionality

q is inversely proportional to the square of t
when t = 5, q = 9.6
a) find the formula for q in terms of t
b) calculate the value of q when t = 8
c) when q = 2.4, calculate the value of t

Easy peasy
if you had
y is inversely proportioal as x that means
y=k/x wher k is a constant

q is invesely peorportionto the square of t
q=k/(t^2)
t=5, q=9.6
easy peasy
subsiute and find k
9.6=k/(5^2)
9.6=k/25
mutiplyb oths ides by 25
240=k

the equation is
q=240/(t^2)
when t=8 then
q=240/(8^2)
q=240/64
q=3.75

q=2.4 find t
2.4=240/(t^2)
multiply both sides by t^2
2.4t^2=240
divide both sides by 2.4
t^2=100
square root both sides
t=10

a. q=
b. q=3.75
c. t=10