a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24
3 108 108-36 = 72
4 324 324-108 = 216
5 972 972-324 = 648
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.
For a point
------(1)
For another point of the table ,
--------(2)
Equation (2) divided by equation (1)
From equation (1),
Therefore, exponential function will be,
We need to graph this equation:
Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:
And we divide both sides by 2:
So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:
So the first point is (0,150). Then we can take x=10 and we get:
So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it