According to data from the National Vital Statistics Report, the marriage rate (marriages per 1000) can be described by y=-0.146x+11.074, where x is the number of years after 1980. For what years does this model indicate that the marriage rate was above 9 marriages per 1000? Was below 8 marriages per 1000?
Note to people: NEVER take a math class during winter semester in college! You will get an unnecessary amount of homework every night! 100 a questions a night!D: This is my 92nd question!?
well, just answer the question. Find x when y=9.
-0.146x+11.074 > 9
-0.146x > -2.074
x < 14.2
So, 1980-1994
Do the other in like wise.
Tiffany purchased a $10,000, 13-week Treasury bill that's paying 2.25%. What is the effective rate on this T-bill?
To determine the years when the marriage rate was above 9 marriages per 1000 or below 8 marriages per 1000, we need to substitute these values into the equation and solve for x.
If we set the marriage rate (y) above 9, we have:
9 = -0.146x + 11.074
Now, solve the equation for x:
-0.146x = 9 - 11.074
-0.146x = -2.074
x = -2.074 / -0.146
x ≈ 14.19
Since x represents the number of years after 1980, we need to add 1980 to find the year. Therefore, the model indicates that the marriage rate was above 9 marriages per 1000 after the year 1994.
Similarly, if we set the marriage rate (y) below 8, we have:
8 = -0.146x + 11.074
Now, solve the equation for x:
-0.146x = 8 - 11.074
-0.146x = -3.074
x = -3.074 / -0.146
x ≈ 21.05
Again, adding 1980 to find the year, the model indicates that the marriage rate was below 8 marriages per 1000 after the year 2001.
Therefore, according to the given model, the marriage rate was above 9 marriages per 1000 after 1994 and below 8 marriages per 1000 after 2001.