Question

varies directly sqrt(x) and inversely as y ^ 2; z = 147 when x = 49 and y = 8 find x = 64 and y = 2 (Round off your answer to the nearest hundredth)

Answer 1

Step-by-step explanation:

we are given the following statement:

According to this statement, z varies directly as √x and varies inversely as y^2. This means that there is a constant c such that:

`z=c(√(x))/(y^2)`

now, if z = 147 when x = 49 and y = 8, we get:

`147=c(√(49))/(8^2)`

solving for the constant c, we get:

`c=((8^)^2147)/(√(49))=1344`

thus, we get the following final equation:

`z=1344(√(x))/(y^2)`

thus, if x = 64 and y = 2, we get that z is:

`z=1344(√(64))/(2^2)=2688`

we can conclude that the correct answer is:

Answer:

2688