JSS3: Mathematics 2nd Term – Variation I

If d varies directly as t and d = 20, when t = 12, find the value of the constant.  

If d varies directly as t and d = 20 when t = 12, what is the relationship between d and t?

The circumference C of a circle is directly proportional to its diameter, d, and the constant of proportionality is π, what is the relationship between c and d?     

If x varies directly as √y  and x = 5 when y =1 69. Find the value of x when y = 9.          

x varies inversely as y and x = 10 when y = 8. Find the value of x when y = 10.    

If P varies inversely as q³ and p = 8 when q = 2.5, what is the relationship between p and q?

The intensity I of a wave varies inversely as the square of the distance d from the source. If I = 250, when d = 30, find the value of d when I = 10. 

If a varies inversely as p, what is the relationship between a and p?    

If a varies directly as  \( \scriptsize \sqrt [3]{b} \) and a = 18 when b = 64, find the value of a when b = 125.   

If a varies directly as  \( \scriptsize \sqrt [3]{b} \) and a = 18 when b = 64, what is the value of b when a is equal to 40.5.