Question

the scatter plot shows the annual revenue for one airline. the equation of the trend line shown is y = 0.4x + 4.1, where x represents the number of years since 2000 and y represents the revenue in millions of dollars. what was the approximate difference between 2003 and 2007? the difference in revenue was approximately □ million dollars. (type an integer or a decimal)

Explanation:

Step1: Find the value of \(x\) for 2003 and 2007

For 2003: \(x = 2003 - 2000=3\)
For 2007: \(x = 2007 - 2000 = 7\)

Step2: Substitute \(x = 3\) and \(x = 7\) into the equation \(y=0.4x + 4.1\)

When \(x = 3\): \(y_1=0.4\times3 + 4.1=1.2 + 4.1 = 5.3\)
When \(x = 7\): \(y_2=0.4\times7+4.1=2.8 + 4.1=6.9\)

Step3: Calculate the difference

Difference \(=y_2 - y_1=6.9 - 5.3 = 1.6\)

Answer:

\(1.6\)