Answer:
a) Linear function
b) Linear function
c) Exponential function
d) Exponential function
Step-by-step explanation:
a) The number of hours in a day increases constantly with 60 minute intervals
b) Constant speed = same distance traveled per given time - so it's linear
c) If a population doubles every y years, it means that the population is being raised exponentially - not at a constant rate, but more each year
d) Same as c
Answer:
see below
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -h = m(x -k)
for a line with slope m through point (h, k).
Comparing this to the given equation, you see that ...
h = -2, m = 1, k = -4
The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.
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You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.
y = x +2
This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.
The distance between the two cars is now 320 yards.
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Distances</u></h3>
To determine what is the distance between the two cars now if they did not collide the following calculation must be performed:
- 500 - (500 - 405) - (500 - 415) = X
- 500 - 95 - 85 = X
- 500 - 180 = X
- 320 = X
Therefore, the distance between the two cars is now 320 yards.
Learn more about distances in brainly.com/question/989117
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
