Which expression is equivalent to "5 times the difference between a number and 14"?
a. 5(n - 14)
b. 5n - 14
c. n - 14 x 5
d. n - 14 / 5
5 x 3 = 15
5(n-14)
To find the expression that is equivalent to "5 times the difference between a number and 14," we need to break down the information given:
- The number is represented by variable "n."
- The difference between a number and 14 is represented by "(n - 14)."
- "5 times" means we need to multiply the difference by 5.
Now let's evaluate the options:
a. 5(n - 14):
This option correctly represents "5 times the difference between a number and 14" since we multiply the difference by 5. Therefore, option a is correct.
b. 5n - 14:
This option represents "5 times a number minus 14," which is not equivalent to the original expression. It does not represent the difference between the number and 14.
c. n - 14 x 5:
This option represents "the difference between a number and 14, multiplied by 5." It incorrectly multiplies the difference by 5 instead of multiplying the whole expression by 5. Therefore, option c is not correct.
d. n - 14 / 5:
This option represents "the difference between a number and 14, divided by 5." It incorrectly divides the difference by 5 instead of multiplying the whole expression by 5. Therefore, option d is not correct.
In summary, the expression equivalent to "5 times the difference between a number and 14" is option a: 5(n - 14).