Linda would like to hire a clown to perform at her son’s birthday party. Clown City charges $100 for incidentals plus $30 per hour for hiring a clown to perform. Party Performers charges $120 for incidentals plus $25 per hour. How many hours would Linda need to plan on so that Party Performers is less expensive than Clown City?

Question

anonymous · Answer

We need to equations.  For the first company I have

y = 100 + 30x

Can you do the same for the other company?

anonymous · Answer

like this y = 125 + 25x

anonymous · Answer

Yes, now we can set them equal and solve for x

100+30x = 125 + 25x

What is x?

anonymous · Answer

I think I am suppose to use the > sign as well

anonymous · Answer

Opps, did you mean 120 not 125?  We can change the equal sign

100+30x  > 120 + 25x 

What is x?

anonymous · Answer

yes sorry lol

anonymous · Answer

thanks a bunch!

anonymous · Answer

x > 4

anonymous · Answer

Correct. So how many hours would Linda need to plan on so that Party Performers is less expensive than Clown City?

anonymous · Answer

she would need to plan the Party Performers for more than 4 hours