The michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%. a) let y represent the percent of michiganders who were veterans and x represent the years since 1990. find a linear model of this situation, rounding to two decimal places.

Since we are given two ordered pairs or points, therefore we can use the point-slope formula to create the linear model.

The general equation is in the form of:

y = mx + b

where m is the slope and b is the y-intercept

The slope can be calculated as:

m = (y2 – y1) / (x2 – x1)

m = (12.4 – 14.2) / (2000 – 1990)

m = -0.18

SO:

y = -0.18x + b

Choosing any ordered pair to calculate for b:

12.4 = -0.18(2000) + b

b = 372.4

Hence,

y = -0.18x + 372.4

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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