Question

the revenue for a particular companys parks and resorts, y (in millions) for the years 2003 - 2007 can be approximated by the equation y = 1177x + 6540, where x represents the number of years after 2003.
a. find the y - intercept of this equation.
b. what does the y - intercept mean.
a. what is the y - intercept?
(0,6540)
(type an ordered pair.)
b.choose the statement that best describes the significance of the y - intercept.
a. the revenue for the parks and resorts is never less than $6540 million between 2003 and 2007.
b. in 2003, the revenue for the parks and resorts was $6540 million less than in 2007.
c. in 2003, the revenue for the parks and resorts was $6540 million more than in 2007.
d. in 2003, the revenue for the parks and resorts was about $6540 million.

Explanation:

Step1: Find the y - intercept

The equation of a line is in the form \(y = mx + b\), where \(b\) is the y - intercept. For the equation \(y=1177x + 6540\), when \(x = 0\) (the y - intercept occurs when \(x = 0\)), \(y=6540\). So the ordered pair for the y - intercept is \((0,6540)\).

Step2: Interpret the y - intercept

The y - intercept \((0,6540)\) means when \(x = 0\) (the year \(x = 0\) represents 2003, since \(x\) is the number of years after 2003). So in 2003, the revenue \(y = 6540\) million.

Answer:

a. The y - intercept is the ordered pair \((0,6540)\).
b. In 2003, the revenue for the parks and resorts was about \(\$6540\) million (Option D).