SHSAT Prep
SHSAT question 114
SHSAT question 114 - An ice cream shop sells 16 cups of ice cream for $48 and 4 cups for $12. There is a proportional relationship between the number of cups of ice cream and the cost.
SHSAT question 114 – Constant of Proportionality (Ice Cream Problem)
Question
SHSAT question 114 -
An ice cream shop sells 16 cups of ice cream for $48 and 4 cups for $12. There is a proportional relationship between the number of cups of ice cream and the cost.
What is the constant of proportionality?
E. 3 cups per dollar
F. 3 dollars per cup
G. 4 cups per dollar
H. 4 dollars per cup
Step-by-Step Solution (Proportional Relationships)
To find the constant of proportionality, we calculate the unit rate (cost per cup).
48 ÷ 16 = 3
12 ÷ 4 = 3
The cost is consistent, confirming a proportional relationship.
👉 Constant of proportionality = 3 dollars per cup
Final Answer
F. 3 dollars per cup
Video Solution:
Why This Matters for SHSAT Math
This type of problem appears frequently on the SHSAT exam and other NYC math tests. Students must understand:
- Proportional relationships
- Unit rates
- Ratios and real-world applications
Mastering these topics improves speed and accuracy on standardized tests.
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