Question

Find the value of the variables in the table.

X : j 5 7 10 12
Y : 10 13 19 k 34

(The values of j and k)

Answer 1

Answer:  The value of j is 4 and the value of k is 28.

Step-by-step explanation:  We are given to find the values of the variables 'j' and 'k' from the given table.

Let us consider the following sets of values:

(X, Y) = (5, 13), (7, 19), (12, 34).

We have,

If X = 5, then y = 13 = 3 × 5 - 2,

If X = 7, then y = 19 = 3 × 7 - 2,

If X = 12, then y = 34 = 3 × 12 - 2.

So, we can write the relation between X and Y as follows:

Y = 3X - 2.

Now, if Y = 10, then we have

$10=3j-2\\\\\Rightarrow 3j=12\\\\\Rightarrow j=4.$

If X = 10, then we have

$k=3\times 10-2\\\\\Rightarrow k=30-2\\\\\Rightarrow k = 28.$

Thus, the values are j = 4  and  k = 28.

Answer 2

The value of j and k from the table are 4 and 28 respectively

Functions and tables

According to the question, we are to find the values of the variables 'j' and 'k' from the given table.

Let us consider the following sets of values:

(X, Y) = (5, 13), (7, 19), (12, 34).

Such that;

If X = 5, then y = 13 = 3 × 5 - 2,

If X = 7, then y = 19 = 3 × 7 - 2,

If X = 12, then y = 34 = 3 × 12 - 2.

So, we can write the relation between X and Y as follows:

y = 3x - 2.

Substitute y =10 into the expression to have:

10 = 3x - 2

3x = 12

x = 4

Similarly, if x = 10, then;

y = 3(10) - 2

y = 30 - 2

y = 28

Hene the value of j and k from the table are 4 and 28 respectively

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