Expressions and Equations (EE)
1. Dunk Tank
A booth at a local carnival is offering a chance to throw balls at a target to knock a clown in the water. The
table below shows the relationship between the number of balls and the cost of the balls. Balls must be
purchased in quantities of two.
Number of balls
Cost of balls
2
3
4
6
6
9
8
12
10
?
20
?
If the pattern continues the same way, how much will 10 balls cost?
In this pattern, what is the cost of 20 balls?
Frank has $20.35. What is the greatest number of balls he can throw at the clown? (Remember: Balls
must be purchased in quantities of two.)
Write an equation to show the relationship between the number of balls (b) and the cost (c)
2. Phone Card
Marty bought a phone card for $25.00. With the card it costs 10 cents a minute to call within his area code
and 20 cents a minute to call outside his area code. He plans to make 1 hour of calls within the area code and
2 hours outside the area code. Marty has already made 1 hour of calls within the area code. Based on this
information determine:
How many minutes of calls outside the area code will he be able to make with his card?
What is the least he could spend for a phone card that would allow him to make the number of calls he
wants to make both inside and outside the area code?
Explain how you determined each of the answers. Make sure to use the mathematical reasons and
examples from the problem in your explanation.