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iVinArrow [24]
3 years ago
12

How do you plot x=y on a graph

Mathematics
2 answers:
EastWind [94]3 years ago
8 0
Https://youtu.be/YjxcvzvRBdU
VARVARA [1.3K]3 years ago
4 0
To plot any function, you can write a table in which your first column is x and the second is y. In this case you can think intuitively. Since y=x means that every value that x has will be the same as y. In the coordinate plane, that would mean that when x is 0 y is 0, when x is 1 y is 1, when x is -5 y is -5, when x is a million, y is a million. You can pick 2 values for x (choose 0 and 1 since they are easy to graph) and then draw a line through those two points.

If you're familiar with the equation of a line, the slope-intercept form is y=mx+b. In your case, b is 0 and m is 1, meaning that the y-intercept is 0 and the line has a slope of 1.
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In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe
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SOLUTIONS

Given: Assume y is the population

\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}

The town grow at the rate of 30 people per year.

y=kt+14000y=30t+14000

(A) The population predicted to be in 2030 will be

\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}

(B) so when y = 15000, find t

\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}

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