Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
The oldest age pat could be ia 10.10 times 2 equals 20.20 plus 5 is 25 .
Answer: 7 I think its adding but if its multiplying it is 12
Step-by-step explanation:
I can't see how any of those formulas show exponential decay. (Did you type those correctly?)
The formula that will show the remaining amount correctly is:
ending amount = Bgng Amount / 2^n
where "n" is the number of haf-lives.
So, for example if half life = 4 hours and if we want to calculate the amount after 9 hours (that's 2.25 half-lives) then:
ending amount = Bgng Amount / 2^n
ending amount = 50 / (2^(9/4))
ending amount = 50 / 2^2.25
ending amount =
50 / <span><span><span>4.75682846
</span>
</span></span><span><span>ending amount =
</span>
10.5112 grams
</span>Looking at the graph, we see that's about right.
The interval notation for numbers greater than 2 but less than or equal to 20 is (2,20]
