Question

The US Bureau of the Census predicted that the population of Utah would be

about 2.25 million in 2000 and then would increase to 2 78 rmilion by 2010
Create an equation of the situation in slope intercept forn Round to the nearest
hundredth if necessary

Answer 1

To create the equation of the given population data in slope-intercept form, we can use the formula y = mx + b and the given points (2000, 2.25 million) and (2010, 2.78 million). The equation is y = 0.053x - 47.95, where x represents the year and y represents the population.

Step-by-step explanation:

To create an equation in slope-intercept form, we can use the given data points of (2000, 2.25 million) and (2010, 2.78 million).

Let's use the slope-intercept form equation: y = mx + b, where y represents the population, x represents the year, m represents the slope, and b represents the y-intercept.

First, let's find the slope using the formula: m = (y2 - y1) / (x2 - x1). In this case, m = (2.78 - 2.25) / (2010 - 2000) = 0.053 million per year.

Next, substitute one of the given points into the equation to find the y-intercept. Let's use (2000, 2.25 million): 2.25 = 0.053(2000) + b. Solving for b, we get b = -47.95 million.

Therefore, the equation in slope-intercept form is y = 0.053x - 47.95, where y represents the population and x represents the year.

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