Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
Since in 1990 there are 28%, we need to figure out when it gets to 31%. In addition, since it increases by 0.6% every year, we can say that 0.6x+28 (since 28 is the base value) is the percentage of babies born in wedlock every year. Therefore, to get 0.6x+28=31, we subtract 28 from both sides to get 0.6x=3
Dividing both sides by 0.6, we get x=5=the amount of years it takes to get 31% of babies born in wedlock. Since 1990 is the base value (we start from there!), we add 5 to that to get 1990+5=1995 as the yar
Width of the rectangle is x + 3 in
Step-by-step explanation:
- Step 1: Given area of the rectangle = 3x² + 9x in². Length = 3x in. Find width.
Area = length × width
3x² + 9x = 3x × width
∴ Width = 3x² + 9x/3x = x + 3 in
Scale for the horizontal axis is in increments of 1. Scale for the vertical axis in in increments of 100. Black – Lesha, Blue - Keon Part B:What does the rate of change for each line represent? The rate of change represents the amount of calories per snack.Part C:What is Lesha’s rate of change? Answers will vary.Example: 100 calories/snack. Part D:How does Lesha’s rate of change compare to Keon’s rate of change? Why are the two rates different from one another? In this case it doubles - the rates are different because with healthy snacks the <span>caloric intake per snack is less than unhealthy snacks.</span>
