Write a function describing the relationship of the given variables.
$h$ varies directly with the square of $d$ and when $d=2, h=28$

Answer

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Answer

The function is $h = 7d^2$. So, $\boxed{h = 7d^2}$.

Steps

Step 1 ：Given that $h$ varies directly with the square of $d$, we can say that $h = kd^2$ for some constant $k$.

Step 2 ：We also know that when $d=2, h=28$. We can use this information to find the value of $k$.

Step 3 ：Substitute $d=2$ and $h=28$ into the equation $h = kd^2$, we get $28 = k*2^2$.

Step 4 ：Solving for $k$, we get $k = 7.0$.

Step 5 ：Now that we have the value of $k$, we can write the function that describes the relationship between $h$ and $d$.

Step 6 ：The function is $h = 7d^2$. So, $\boxed{h = 7d^2}$.