Question

ezra wants to adopt a rescue dog. he wonders how much food dogs typically eat, so he asks some of his friends with pet dogs. this scatter plot shows the weight of each dog and how much food that dog eats in a day. it also shows the line of best fit. the equation for the line of best fit is y = \frac{1}{25}x. according to the equation, which of these statements is true? a 25 - pound dog would likely eat about 1 cup of food per day. a 65 - pound dog would likely eat about 1.6 cups of food per day.

Explanation:

Step1: Substitute weight into equation

The equation of the line of best - fit is $y=\frac{1}{25}x$, where $x$ is the weight of the dog in pounds and $y$ is the amount of food in cups.

Step2: Check for 25 - pound dog

When $x = 25$, substitute $x$ into the equation: $y=\frac{1}{25}\times25=1$.

Step3: Check for 65 - pound dog

When $x = 65$, substitute $x$ into the equation: $y=\frac{1}{25}\times65=\frac{65}{25}=2.6$.

Answer:

A. A 25 - pound dog would likely eat about 1 cup of food per day.