Lester and Kari are playing a number pattern game. Kari The following pattern. 45.5,49,52.5, ?, 59.5. What is the unknown Number
2 answers:
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Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:
In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,
Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line ,
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now,
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality . The 'y' value is less than
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
Answer: The correct option is A, itis the product of the initial population and the growth factor after h hours.
Explanation:
From the given information,
Initial population = 1000
Increasing rate or growth rate = 30% every hour.
No of population increase in every hour is,
Total population after h hours is,
It is in the form of,
Where is the initial population, r is increasing rate, t is time and [tex(1+r)^t[/tex] is the growth factor after time t.
In the above equation 1000 is the initial population and is the growth factor after h hours. So the equation is product of of the initial population and the growth factor after h hours.
Therefore, the correct option is A, itis the product of the initial population and the growth factor after h hours.