Question

sarah is spending the day at a state fair. while at the fair, she can play games or ride rides. when sarah arrives at the fair, she purchases all of the tickets that she wants to use at the fair requires seven tickets. to make her trip to the fair worthwhile, sarah decides she must participate in
create a system of equations to model the situation above, and use it to determine if the solution of the system is viable.
a. there is not enough information to determine whether all solutions of the system are viable.
b. sarah plays eight games and rides two rides, therefore, the solution is viable for the given situation.
c. sarah cannot play a negative number of games or ride a negative number of rides; therefore, the solution is not viable for
the given situation.
d. sarah cannot ride a negative number of rides, therefore, the solution is not viable for the given situation.

Explanation:

In real - world scenarios like going to a fair and participating in games or rides, the number of games played and rides taken must be non - negative (you can't play a negative number of games or take a negative number of rides). Option A is wrong because we can determine viability based on the nature of the situation (non - negative counts for games and rides). Option B is wrong as just having a number of games and rides doesn't mean it's viable; we need to consider if the number of tickets used is within the available tickets. Option D is wrong as it's not about the number of rides alone but about both games and rides having non - negative counts. So option C correctly explains the viability of the solution for this real - world situation.

Answer:

C. Sarah cannot play a negative number of games or ride a negative number of rides; therefore, the solution is not viable for the given situation.