Question

9. To raise money for after-school programs at an elementary school, agroup of parents is holding a weekend of games in a community center.They charge $8 per person for entry into the event. The group would like toearn at least $600, after paying for the cost of renting the space, which is$40 an hour. If x represents the number of entry tickets sold and y thehours of space rental, which inequality represents the constraints in thesituation?O 8X - 40y < 6008x - 40y S 600O 8x - 40y > 600O 8X - 40 2 600

Answer 1

The amount of money raised is a function of the number of entry tickets X as follows:

`f(x)=8x`

And the one which gives the amount of money to be paid for renting the space is a function of the time Y as follows:

`g(y)=40y`

Now, the difference gives the amount of money they will collect, and this must be at least 600, which means the difference of f(x) and g(y) must be equal or bigger than 600, which can be written in the following way:

`\begin{gathered} f(x)-g(y)\ge600 \\ \\ 8x-40y\ge600 \end{gathered}`