Answer: PLS READ BELOW FOR THE ANSWER AND THANK U FOR THE POINTS :) !!!!!!
Explanation:
a. To complete the table, we need to define the variables x and y based on the situation given. In this case, we can let x represent the time (in years) and y represent the population of Detroit (in thousands).
Using the given information, we can fill in the table:
```
x (Time) y (Population)
2000 950
2020 670
```
b. The slope represents the rate of change between two points on a line. To find the slope, we can use the formula:
```
slope = (change in y) / (change in x)
```
Using the coordinates (x₁, y₁) = (2000, 950) and (x₂, y₂) = (2020, 670), we can calculate the slope:
```
slope = (670 - 950) / (2020 - 2000)
= -280 / 20
= -14
```
Therefore, the slope is -14.
c. The y-intercept represents the value of y when x is equal to 0. In this case, the y-intercept is the population of Detroit in the year 2000, which is approximately 950,000.
d. The equation written in Slope-Intercept Form is given by:
```
y = mx + b
```
Substituting the slope (-14) and the y-intercept (950) into the equation, we have:
```
y = -14x + 950
```
e. To sketch the graph of this situation, we can plot the two known coordinates (2000, 950) and (2020, 670) and draw a straight line passing through them.
As for the projected population in 2025, we need to find the corresponding value of y when x is equal to 2025.
Using the equation y = -14x + 950 and substituting x = 2025, we can calculate:
```
y = -14(2025) + 950
= -28350 + 950
= -27400
```
Since population cannot be negative, we can assume that the projected population in 2025 would be 0 (if the trend continues).