Question

In 2002, the greatest number of movie tickets in a single year were sold in America, at 1.58 billion. This is down to 1.27 billion (annualized) for 2010.

Write the linear equation modeled by these two points in slope-intercept form (let in 2000).

Interpret the slope specifically in real world terms. What reasons could you give for this trend?


Interpret the y-intercept specifically in real world terms, and why is this not true given the original description of the data? (If you didn’t use in 2000, your answer here will be wrong.)

Answer 1

correction:Write the linear equation modeled by these two points in slope-intercept form (let x=0 in 2000).

Answer 2

Let x be the year, and y the number of sold tickets in billions. We have the two points:
(0,1.58), (10,1.27) (since x=0 in the year 2000). Can you use these two pints to write the linear equation?

Answer 3

yes

Answer 4

Write it. :)

Answer 5

y=-.031x+1.58

Answer 6

Awesome!! You just did the first part of the problem. Now, what does the slop m=-0.031 mean in words?

Answer 7

Or let's say in other words, what does a slop represent in general?

Answer 8

slope*

Answer 9

The amount the the movies tickets decreased each year

Answer 10

Yeah. The slope in general represents the rate of change. In our case, m=-0.031 tells us that movies tickets sales "decreased" by a rate of 0.031 each year from 2000 to 2010.