If bee has

Question

The IQ of a bee vareis direclty with the square of the number of anennae it has.

If a bee with 5 antennae has an IQ of 75.

Find the IQ of a bee with 8 antennae

Answer 1

A direct variation between IQ and Number of Antennae looks like this:

 

     IQ = k*(Number of Antennae)

 

where k is the "constant of proportionality".   Let's use our one data point (Number of Antennae=5, IQ=75) to find the value of k:

 

     IQ = k*(Number of Antennae)

     75 = k*5

     75/5 = k

 

     15 = k

 

Now we can find the IQ of a bee with 8 antennae:

     IQ = k*(Number of Antennae)
     IQ = 15*8

 

     IQ = 90