All the instructions say is: Applications
The United States is China's largest export market. Imports from China grew about 82 billion dollars in 1999 to 152 billion dollars in 2003. Let x=0 correspond to 1990, find the amount of imports in 2006.
Can someone please help me understand what I need to do.
What inforomation is available for 2006?
none. what i typed is the whole question.
To find the amount of imports in 2006, you can use the given information and a linear equation.
First, let's define the variables:
x represents the years starting from 1990, so x = 0 corresponds to the year 1990.
y represents the amount of imports from China.
The information given states that imports from China grew from about 82 billion dollars in 1999 (x = 9) to 152 billion dollars in 2003 (x = 13).
Now, we can form a linear equation to represent the growth in imports over time. We can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
We can find the equation of the line using the two points (9, 82) and (13, 152):
First, calculate the slope (m):
m = (152 - 82) / (13 - 9) = 70 / 4 = 17.5
Now, substitute one of the given points (9, 82) into the equation y = mx + b to find b:
82 = 17.5 * 9 + b
b = 82 - 157.5
b = -75.5
Now we have the equation:
y = 17.5x - 75.5
To find the amount of imports in 2006, we need to find the value of x that corresponds to that year. By subtracting 1990 from 2006, we get:
2006 - 1990 = 16
Substitute x = 16 into the equation to find y:
y = 17.5 * 16 - 75.5
y = 280 - 75.5
y = 204.5
Therefore, the amount of imports from China in 2006 would be approximately 204.5 billion dollars.