Well, this problem is best solved by setting up a system of two linear equations.
A linear equation can be defined
y=mx+b
where
b=initial value (when x=0), and
m=rate of increase or decrease.
In the given example, the x-axis represents hour, and the y-axis, number of cells.
Chemical #1
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore
y1=-4000x+12000......................(1)
Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)
The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.
At 6 hours from the start,
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells
So the solution is x=6, y=-12000, or (6,-12000)
Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2
Therefore, after three hours, both trials will have zero cells.
You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.
First off, you should see whether the data is qualitative or quantitative.
-Quantitative is the number that represents counts or measurements.
-Qualitative (aka Categorical) typically labels or non-numeric entries
So, and example of some qualitative graphs are:
-Bar Graphs: usually comparison of things
-Two Way Tables: typically a survey with the comparison of data
-Circle Graph (Pie Chart): percentages being compared from different categories
-Frequency Tables: shows how often something appears
Some examples of quantitative graphs are:
-Box and Whiskers: shows the low, high, median of 1st quartile, median, median of 3rd quartile, and the high of data
-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help
So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!
-5x - 49 > 113
Add 49 to both sides
-5x > 162
Divide both sides by -5
x > -32.4
Hope this helps!
Answer:
<u>22.33 feet tall / 267.96 inches tall</u>
Step-by-step explanation:
The statue is 36 inches wide. If Chase made his model of the statue 16 inches wide, he decreased it by 20 inches. Now change the inches into feet. 36 inches would be 3 feet, 16 inches would be 1.33 feet and 20 inches would be 1.67 feet. <u>24ft - 1.67 = 22.33ft.</u> Now change the answers to inches. 22.33ft will be 267.96 inches tall.
