A newborn kitten weighs three ounces at birth. After four weeks, it weighs 13 ounces. Which of the following is true?
A. The situation can be modeled by a proportional relationship because the weight of the kitten increases by 2.5 ounces every week.
B. The situation cannot be modeled by a proportional relationship because the kitten does not weigh zero ounces at birth.
C. The situation cannot be modeled by a proportional relationship because the difference in the weight of the kitten after four weeks is 10 ounces.
D. The situation can be modeled by a proportional relationship because the weight of the kitten increases over time.

Respuesta :

Answer:C : the kitten’s age and weight are not in a proportional relationship because the kitten does not weigh zero ounces at birth

Step-by-step explanation:

As per given condition true statement is given by the situation cannot be modeled by a proportional relationship because the kitten does not weigh zero ounces at birth.

What is proportionality?

" Proportionality is defined as the two variables of the given quantity related to each other using linear equality."

According to the question,

Weight of the newborn kitten [tex]= 3[/tex] ounces

Weight of the kitten after four weeks [tex]=13[/tex] ounces

[tex]'x'[/tex] represents the age of a kitten

[tex]'y'[/tex] represents the weight of a kitten

New born kitten age is zero

Therefore using proportionality we have,

[tex]x=0 \implies y= 3[/tex]

As per the proportionality weight of the kitten should be equals to zero.

Hence, Option(B) is the correct answer.

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