in the expression shown, q represents a rational number. 5q What value of q makes the expression equal a number less than 5

A: 6/7
B: 8/7
C:15/13
D:15/15

1 answer

Let's look at the expression 5q. To find a rational number q that makes the expression equal a number less than 5, we need to find a value for q that is less than 1 when multiplied by 5.

Given the options:
A: 6/7 = 0.857,
B: 8/7 = 1.143,
C: 15/13 = 1.154,
D: 15/15 = 1

From the given options, the value of q that makes the expression equal a number less than 5 is A: 6/7.

Substituting q = 6/7 into 5q:
5 * 6/7 = 30/7 = 4.2857

Since 4.2857 < 5, option A is the correct answer.