12)
(intro) Slope is change in y divided by change in x (axes). Here, the y axis is depth and the x axis is hours. So, the slope is change in depth between any two points, divided by the change in hours between the same points. The slope of this line is half a foot depth divided by 2 hours.
a) So, the slope is 0.5 / 2 = 0.25, or 1/4.
b) The graph shows a constant rate of change because the line is straight (it increases at the same speed. If the line was curving, it would not be a constant rate of change).
c) Yes, because the line has a constant rate of change now.
Answer:
Option 2
Step-by-step explanation:
Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.
Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.
Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.
Option 1's y minimum is -7, and Option 3's y minimum is -2.25.
Option 1: -7
Option 2: -10
Option 3: -2.25
Option 4: -6
The questions asks for the <em>smallest</em> minimum value, which in this case is option 2.
Answer:
$146410
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
100,000 x (1.1)^4 = $146410
