Suppose that a varies inversely with b^2. If a=9 when b=2, find the value of a when b=3.

a = 4

Step-by-step explanation:

We can set up an equation to model this:

a =

Now, we can plug in the information given to find the value of k:

9 =

9 =

36 = k

Now, we can find the value of a when b = 3.

a =

a =

a = 4

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168