A national home improvement store's revenue y (in millions of dollars) during the years from 1996 to 2007 is given by the equation y=15x+55
where x is the number of years after 1996.
a)Use the equation above or a graph of the equation to complete the ordered pair (6, )
b) Write a sentence explaining the meaning of the answer to part (a)
C) If this equation continues to be valid, how much revenue will there be in 2011 _______million dollars.
a) To complete the ordered pair (6, ), we substitute x = 6 into the equation y = 15x + 55 and solve for y:
y = 15(6) + 55
y = 90 + 55
y = 145
Therefore, the ordered pair (6, 145) is completed.
b) The answer to part (a), (6, 145), means that in the 6th year after 1996 (which corresponds to the year 2002), the national home improvement store's revenue was $145 million.
c) To find the revenue in 2011, we need to determine the value of y when x = 2011 - 1996 = 15. Substituting x = 15 into the equation y = 15x + 55:
y = 15(15) + 55
y = 225 + 55
y = 280
Therefore, the revenue in 2011 is projected to be $280 million.
a) To complete the ordered pair (6, ), we need to find the value of y when x is 6. We can substitute x = 6 into the equation y = 15x + 55:
y = 15(6) + 55
y = 90 + 55
y = 145
Therefore, the completed ordered pair is (6, 145).
b) The answer to part (a), (6, 145), represents the revenue (y) in millions of dollars for the national home improvement store 6 years after 1996. In other words, in the year 2002 (1996 + 6), the revenue of the store is projected to be $145 million. It indicates the growth or increase in revenue for the store over those 6 years.
c) To find the revenue in 2011, we calculate the value of y when x is 2011 - 1996 = 15:
y = 15(15) + 55
y = 225 + 55
y = 280
Therefore, if the equation continues to be valid, the projected revenue in 2011 for the national home improvement store will be $280 million.