Question

complete the statement that describes the situation. duke weighed blank pounds when josh adopted him. duke then gained blank

Explanation:

Step1: Find the initial weight

The x - axis represents weeks since adoption. When \(x = 0\) (at the time of adoption), we look at the y - value (weight). From the graph, when \(x = 0\), \(y=15\). So Duke weighed 15 pounds when adopted.

Step2: Calculate the weight gain per week

We can take two points on the line. Let's take \((0,15)\) and \((4,25)\). The slope of the line (which represents the weight gain per week) is calculated using the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1 = 15,x_2 = 4,y_2 = 25\), we get \(m=\frac{25 - 15}{4 - 0}=\frac{10}{4}=2.5\). So Duke gained 2.5 pounds per week.

Answer:

Duke weighed 15 pounds when Josh adopted him. Duke then gained 2.5 pounds per week.