Solve Problems Using Systems in Three Variables
-A Vendor Sells $\$ 10.75$

question 193

Multiple Choice

Solve Problems Using Systems in Three Variables
-A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 2 hot dogs, 5 bags of potato chips, and 2 soft drinks for $\$ 10.75$ . The price of a hot dog is $\$ 1.25$ more than the price of a bag of potato chips. The cost of a soft drink is $\$ 2.50$ less than the price of two hot dogs. Find the cost of each item.

• A) \(\$ 2.00\) for a hot dog; \(\$ 0.75\) for a bag of potato chips; \(\$ 1.50\) for a soft drink
• B) \(\$ 0.75\) for a hot dog; \(\$ 2.00\) for a bag of potato chips; \(\$ 1.50\) for a soft drink
• C) \(\$ 2.00\) for a hot dog; \(\$ 1.50\) for a bag of potato chips; \(\$ 0.75\) for a soft drink
• D) \(\$ 2.25\) for a hot dog; \(\$ 1.00\) for a bag of potato chips; \(\$ 1.50\) for a soft drink

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Definitions:

T Test

A statistical test used to compare the means of two groups and determine if they are significantly different from each other.

T Statistic

A type of statistic used in hypothesis testing, especially for small sample sizes, calculated to compare an observed sample mean to a theoretical population mean.

Straight-line Relationship

A linear connection between two variables, represented graphically by a straight line, indicating a constant rate of change.

Mileage

The number of miles traveled or covered by a vehicle, often used to indicate fuel efficiency or the extent of vehicle use.