Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
=
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is .
Step-by-step explanation:
The exponential formula is
Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278
Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8
Therefore the projected population in 2025 is 476479.
Answer:
See Explanation
Step-by-step explanation:
Given
Rectangle A:
Required
Determine the possible dimensions of Rectangle B
<em>The question has missing options; however, the question can still be solved.</em>
<em></em>
Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B
Take for instance, the measurements of Rectangle B are
Divide the corresponding lengths of B by A to get the enlargement ratio
For length:
For width
Notice that both ratios are the same.
For this measurement of B, we can conclude that B is an enlargement of A
Assume another measurements for B
Calculate Ratios
For length:
For width
Notice that, both ratios are not equal.
For this measurement of B, we can conclude that B is not an enlargement of A
<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>