Question

based on the data trends, what would you predict the mass of the dog (in kg) to be in the year 2007? dog data chart with year (2000,2001,2002,2003,2004) and mass (kg) from 66 to 76

Explanation:

Step1: Analyze the trend from 2003 to 2004

From 2003 (mass = 74 kg) to 2004 (mass = 73 kg), the mass decreases by \(74 - 73 = 1\) kg per year.

Step2: Determine the number of years from 2004 to 2007

The number of years between 2004 and 2007 is \(2007 - 2004 = 3\) years.

Step3: Calculate the mass in 2007

Starting from the mass in 2004 (73 kg), and decreasing by 1 kg each year for 3 years: \(73 - 3\times1 = 70\) kg. Wait, but let's re - check the trend before 2002. From 2000 (68 kg) to 2001 (70 kg), increase by 2 kg. 2001 to 2002: 70 to 74, increase by 4 kg. 2002 - 2003: constant at 74. 2003 - 2004: decrease by 1. Maybe the post - 2003 trend is linear decrease. From 2003 (74) to 2004 (73), slope is - 1. So the equation of the line for years after 2003: let \(x\) be the number of years after 2003, mass \(m=74 - x\). In 2007, \(x = 2007 - 2003=4\). So \(m = 74-4 = 70\)? Wait, no, 2003 to 2004 is 1 year, \(x = 1\), \(m = 73\), which is \(74 - 1\times1\). 2007 is 4 years after 2003, so \(m=74-4\times1 = 70\). But wait, maybe the trend from 2002 - 2003 is flat, then 2003 - 2004 decrease by 1, so the rate of decrease is 1 kg per year. So from 2004 (73) to 2007 is 3 years, so \(73-3 = 70\). Alternatively, maybe we can consider the overall trend. But based on the given graph, from 2003 to 2004, it's a decrease of 1 kg. So extending that trend:

Year 2003: 74 kg

Year 2004: 73 kg

Year 2005: 72 kg

Year 2006: 71 kg

Year 2007: 70 kg

Answer:

70