Question

Mario sells insurance. His goal is to sell 3 types of insurance to each family on a block. He also wants to sell more than 27 policies. If x is the number of families he needs to sell to, which pair of inequalities correctly represents this problem? A.9x > 27 x>3B. 9x < 27x<3C. 3x >27x>3D. 3x < 27x<9please helppp

Answer 1

Since we have told that x represents the number of families he needs to sell to

We have also been told that he wants to sell 3 types of insurance to each family

This will mean that he will sell a total of

`3\text{ }*\text{ }x\text{ = 3}x`

We are also told that he plans to sell more than 27 policies, this means that

the total sales will exceed 27

Therefore

`\text{3}x\text{ > 27}`

Then the value of x can be obtained if both sides are divided by 3

`\begin{gathered} \frac{\text{3}x\text{ }}{3}>(27)/(3) \\ \\ x\text{ > 9} \end{gathered}`