The sum of the ages of a china plate and a glass plate is 16 years. Four years ago the china plate was three times the age of th
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ANSWER
The rule is given by the relation,
EXPLANATION
We need to check and see if there is a constant difference between the y-values.
We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,
Then the points in the table should satisfy the above rule.
So let us plug in
This implies that,
Our rule now becomes,
We again plug in another point say, (-1,-1) in to equation (1) to get,
we solve for m now to obtain,
We now substitute back in to equation (1) to get
The rule is given by the relation,
EXPLANATION
We need to check and see if there is a constant difference between the y-values.
We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,
Then the points in the table should satisfy the above rule.
So let us plug in
This implies that,
Our rule now becomes,
We again plug in another point say, (-1,-1) in to equation (1) to get,
we solve for m now to obtain,
We now substitute back in to equation (1) to get
Answer:
The numbers are 9, 19 and 76.
Step-by-step explanation:
Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.
The first number in terms of x:
The second number in terms of x:
If we add them all up, these 3 numbers in terms of x must be equal to 104, so:
Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:
The first number is 9, second number 19 and the third number 76.