Question

Paisley randomly surveys teachers about the type of car they drive. If Paisley randomly surveys another 300 teachers, how many would she expect to drive an SUV?

Answer 1

From the bar graph, we can notice that a total of 15+26+7=48 teachers were included in the first survey.

In that case, the proportion of them that drive an SUV is:

`P=\frac{\text{Teachers}_{\text{SUV}}}{\text{Teachers}_{\text{Total}}}=(15)/(48)`

So, we expect that same proportion of teachers that drive an SUV in the second survey:

So, if the total of teachers is equal to 300, and P is constant, then:

`\text{Teachers}_{\text{SUV}}=P\cdot\text{teachers}_{\text{total}}=(15)/(48)\cdot300=93.75`

And this is practically 94 teachers, so option B is the right answer