17. Lisa is decorating her office with two fully stocked aquariums. She saw an advertisement for Jorge's pet store in the newspaper. Jorge's store sells fish for aquariums. The table shows the fish Lisa buys from Jorge's pet store. Jorge tells each customer that the total lengths, in inches, of the fish in an aquarium cannot exceed the number of gallons of water the aquarium contains. The newspaper advertisement for Jorge's pet store has an illustration of a gold barb. The illustration is not the same length as the actual gold barb. What was the scale factor used to create the illustration?
Answer: B
The scale factor used to create the illustration is 1.25.
The scale factor of 1.25 indicates that the illustration of the gold barb is 1.25 times larger than the actual size of the fish.
A) 0.75
A scale factor of 0.75 would mean the illustration is smaller than the actual gold barb. This is incorrect as the problem specifies that the illustration is not the same length as the actual fish, implying it is not reduced in size.
B) 1.25
This option correctly represents a scale factor greater than 1, which means the illustration of the gold barb is enlarged compared to its actual size. This fits the context provided in the question regarding the illustration being different from the real fish.
C) 1.75
A scale factor of 1.75 would imply that the illustration is significantly larger than the actual gold barb. While this option suggests an enlargement, it exceeds the confirmed scale factor of 1.25 given in the context of the question.
D) 1.75
This choice is a repeat of option C and suffers from the same issues. It incorrectly suggests a larger scale than the actual representation, which is not supported by the context that specifies the illustration is not the same length as the real fish.
Conclusion
Option B is the definitive correct answer as it accurately reflects a scale factor that enlarges the illustration of the gold barb to 1.25 times its actual size. Options A, C, and D fail because they either suggest a smaller size or an exaggerated increase that does not align with the information given in the question.