https://file.aiquickdraw.com/mathbot/file/17260210325043gmlc2vs.jpg

Let's address each part of the question based on the provided image. 

The formula given is:

\[
W = 52 \cdot \frac{w}{a}
\]

Where:
- \( W \) is the predicted adult weight of the puppy.
- \( w \) is the current weight of the puppy at age \( a \) weeks.
- \( a \) is the age of the puppy in weeks.
  
For this exercise, the weight of the puppy \( w \) is given as 5 pounds.

### a. **Write a formula for \( W \) as a function of the age \( a \).**

Since \( w = 5 \) pounds, substitute this into the formula:

\[
W = 52 \cdot \frac{5}{a}
\]

Simplifying this, the formula for \( W \) becomes:

\[
W(a) = \frac{260}{a}
\]

### b. **Make a graph of \( W \) for ages up to 16 weeks.**

Let me compute the values of \( W \) for \( a = 1 \) to \( a = 16 \), then I'll plot the graph.

### c. **Does a weight of 5 pounds at an early age indicate a larger or smaller adult weight than a weight of 5 pounds at a later age?**

Let's analyze this question. The formula \( W = \frac{260}{a} \) shows that as \( a \) increases, \( W \) decreases because \( a \) is in the denominator. So, a puppy weighing 5 pounds at an earlier age (smaller \( a \)) would result in a larger predicted adult weight compared to a

There is a formula that estimates how much your puppy will weigh when it reaches adulthood. The method applies to medium-sized breeds. First, find your puppy’s weight w at an age of a weeks, where a is 16 weeks or less. The predicted adult weight W in pounds is given by the formula W = 52 * w / a. In the exercise, we consider puppies that weigh w = 5 pounds at age a.

This problem involves calculating the adult weight of a puppy based on its weight at a younger age using a simple inverse proportion formula. Students will learn how to analyze a formula, graph it, and understand the implications of weight at different ages.

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