Question

How do you write the verbal phrase given: \[\dfrac{x}{4}-17\]?

Answer 1

Hint: This type of problem is based on the concept of algebra. First, we have to consider \[\dfrac{x}{4}\]. We find that x is divided by 4 and thus we get \[\dfrac{x}{4}\]. Then, consider 17. Here, 17 are subtracted from the given expression of variable x. so we can write the given expression as x divided by 4 and then subtracted by 17.

Complete step by step solution:
According to the question, we are asked to find the verbal phrase of \[\dfrac{x}{4}-17\].
We have been given the expression \[\dfrac{x}{4}-17\]. -----(1)
Let us first consider \[\dfrac{x}{4}\].
From the fraction \[\dfrac{x}{4}\], we find that x is in the numerator and 4 is in the denominator.
We can say that x is divided by 4.
Therefore, we can write \[\dfrac{x}{4}\] as x divided by the constant 4.
Now, we have to consider 17.
From expression (1), we find there is a subtraction between the fraction \[\dfrac{x}{4}\] and the constant 17.
Therefore, we can write that 17 is subtracted from \[\dfrac{x}{4}\].
Now, combining the verbal phrases of both the considered parts together, we get the verbal phrase of the expression (1).
Therefore, the verbal phrase of the expression \[\dfrac{x}{4}-17\] is
’17 is subtracted from x which is divided by 4’.

Note: We can also write the expression in following ways.
\[\dfrac{x}{4}\] can be written as the quarter of x. therefore, the verbal phrase is
’17 is subtracted from the quarter of x’.
We can also write \[\dfrac{x}{4}\]as \[\dfrac{1}{4}\] multiplied with x.
Therefore, the verbal phrase of the expression is
’17 is subtracted from x which is multiplied by \[\dfrac{1}{4}\] ‘.