5y-100x=25 what are the slope and y-intercept?
2 answers:
Answer:
The slope for this line is m = 20 and the y-intercept is b = 5
Step-by-step explanation:
In order to identify the values of the slope and y-intercept, the idea is to write the line equation in slope-intercept form that is y = mx+b, where m stands for the slope and b stands for the y-intercept.
Getting into slope-intercept form.
Since 100x has a - sign in front, we can apply both sides +100x in order to move 100x to the other side of the equation.
Then since we have a multiplication operation between 5 and y, we can apply the opposite operation which is division, in order to move that 5 to the other side.
Simplifying we get
By inspection, we can compare with the formula y = mx+b. So the slope of the line equation is m = 20 and the y-intercept is b = 5.
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Answer:
The population in year 2014 is 41100.
Step-by-step explanation:
In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .
It is required to predict the population in 2014 .
To do so, use the population given in two years as two points on a line and find the equation of population and year. Then, find the population in year 2014 .
Step 1 of 2
The population in 2008 was 28200 and in 2012 it was, 36800 .
The equation relating population and year is,
Step 2 of 2
The population in year 2014 can be determined by substituting 2014 for x,
Answer:
.
Step-by-step explanation:
You are trying to find .
When a number has a negative exponent, that means that the number becomes a fraction. That sounds confusing, so let me show you what that would be...
And since the 10x is being raised to the third power, it is the same thing as saying 10^3 * x^3. So, you would have...
=
=
And that's your answer!
Hope this helps!