Question

How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario

Answer 1

How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario
A. 14
B. 14/56
C. 56
D. 4

Answer 2

To express the quantity of programming errors for every programmer as a rational number, you can set up the ratio of programming errors to programmers.

You have 14 programming errors for 56 programmers. To express this as a rational number, you can write it as:

\[
\frac{14 \text{ errors}}{56 \text{ programmers}}
\]

Next, you can simplify this fraction. Both the numerator and the denominator can be divided by 14:

\[
\frac{14 \div 14}{56 \div 14} = \frac{1}{4}
\]

Thus, the rational number that represents 14 programming errors for every 56 programmers is \( \frac{1}{4} \).

Answer 3

To represent the scenario of 14 programming errors for every 56 programmers as a rational number, you can express it as:

\[
\frac{14}{56}
\]

This simplifies to:

\[
\frac{1}{4}
\]

However, from the options you provided:

A. 14
B. 14/56
C. 56
D. 4

The correct choice that directly represents the number of errors with respect to the number of programmers is:

**B. \(\frac{14}{56}\)**

This is the fraction that corresponds to the scenario before simplification.