Question
A television station runs 2
advertisements (a)
for every 14
hour of programming (p).
Which answer correctly explains how to calculate the number of advertisements that will run with a program that is 334
hours?
Responses
The situation can be represented by the equation a=18p.
Since the program, p,
will run for 334
hours, calculate 334=18⋅p
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate 334=18⋅p
to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=8p.
Since the program, p,
will run for 334
hours, calculate a=8334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate A is equal to the fraction with numerator 8 and denominator 3 and 3 fourths to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=18p.
Since the program, p,
will run for 334
hours, calculate a=18⋅334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate a=18⋅334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=8p.
Since the program, p,
will run for 334
hours, calculate a=8⋅334
to find the number of advertisements that will run with the program.
advertisements (a)
for every 14
hour of programming (p).
Which answer correctly explains how to calculate the number of advertisements that will run with a program that is 334
hours?
Responses
The situation can be represented by the equation a=18p.
Since the program, p,
will run for 334
hours, calculate 334=18⋅p
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate 334=18⋅p
to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=8p.
Since the program, p,
will run for 334
hours, calculate a=8334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate A is equal to the fraction with numerator 8 and denominator 3 and 3 fourths to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=18p.
Since the program, p,
will run for 334
hours, calculate a=18⋅334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation Since the program, p textsf comma will run for 3 and 3 fourths hours, calculate a=18⋅334
to find the number of advertisements that will run with the program.
The situation can be represented by the equation a=8p.
Since the program, p,
will run for 334
hours, calculate a=8⋅334
to find the number of advertisements that will run with the program.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the correct explanation for calculating the number of advertisements that will run with a program that is 334 hours, we need to understand the relationship between advertisements and programming hours.
From the given information, the television station runs 2 advertisements (a) for every 14 hours of programming (p).
To find a, the relationship can be expressed with the ratio:
- If there are 2 ads for every 14 hours, then for each hour, the station runs \(\frac{2}{14} = \frac{1}{7}\) advertisements.
Thus, the equation that describes the number of advertisements \(a\) in terms of hours \(p\) can be represented as:
\[
a = \frac{1}{7}p \text{ or equivalently } a = \frac{1}{7} \times 334
\]
Now, since we want to find the total number of ads for 334 hours:
\[
a = 2 \times \left(\frac{334}{14}\right)
\]
Calculating the number of 14-hour segments in 334 hours:
\[
\frac{334}{14} = 23.857 \text{ (approximately)}
\]
Therefore,
\[
a = 2 \times 23.857 \approx 47.714 \text{ or rounded appropriately to 48 ads, depending on whether the station rounds up.}
\]
Let’s review the options given:
1. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate 334=18⋅p to find the number of advertisements that will run with the program.**
- Incorrect. The ratio is not correct.
2. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8334 to find the number of advertisements that will run with the program.**
- Incorrect. Again, the ratio is not correct.
3. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate a=18⋅334 to find the number of advertisements that will run with the program.**
- Incorrect. The ratio is not correct.
4. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8⋅334 to find the number of advertisements that will run with the program.**
- Incorrect ratio once more.
5. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate a=18⋅334 to find the number of advertisements that will run with the program.**
- Incorrect. Again, incorrect ratio.
6. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8⋅334 to find the number of advertisements that will run with the program.**
- Incorrect ratio once again.
None of the responses appear to reflect the correct calculations and ratios based on the information given. The correct relationship based on \(a = \frac{1}{7}p\) needs to be established to yield the correct number of advertisements for 334 hours of programming. The most logical representation would be using \(a = \frac{2}{14}p\).
If any of the answers had used \(a = \frac{1}{7}p\) or noted \(a = 2 \times (334/14)\), that would have been the correct choice.
From the given information, the television station runs 2 advertisements (a) for every 14 hours of programming (p).
To find a, the relationship can be expressed with the ratio:
- If there are 2 ads for every 14 hours, then for each hour, the station runs \(\frac{2}{14} = \frac{1}{7}\) advertisements.
Thus, the equation that describes the number of advertisements \(a\) in terms of hours \(p\) can be represented as:
\[
a = \frac{1}{7}p \text{ or equivalently } a = \frac{1}{7} \times 334
\]
Now, since we want to find the total number of ads for 334 hours:
\[
a = 2 \times \left(\frac{334}{14}\right)
\]
Calculating the number of 14-hour segments in 334 hours:
\[
\frac{334}{14} = 23.857 \text{ (approximately)}
\]
Therefore,
\[
a = 2 \times 23.857 \approx 47.714 \text{ or rounded appropriately to 48 ads, depending on whether the station rounds up.}
\]
Let’s review the options given:
1. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate 334=18⋅p to find the number of advertisements that will run with the program.**
- Incorrect. The ratio is not correct.
2. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8334 to find the number of advertisements that will run with the program.**
- Incorrect. Again, the ratio is not correct.
3. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate a=18⋅334 to find the number of advertisements that will run with the program.**
- Incorrect. The ratio is not correct.
4. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8⋅334 to find the number of advertisements that will run with the program.**
- Incorrect ratio once more.
5. **The situation can be represented by the equation a=18p. Since the program, p, will run for 334 hours, calculate a=18⋅334 to find the number of advertisements that will run with the program.**
- Incorrect. Again, incorrect ratio.
6. **The situation can be represented by the equation a=8p. Since the program, p, will run for 334 hours, calculate a=8⋅334 to find the number of advertisements that will run with the program.**
- Incorrect ratio once again.
None of the responses appear to reflect the correct calculations and ratios based on the information given. The correct relationship based on \(a = \frac{1}{7}p\) needs to be established to yield the correct number of advertisements for 334 hours of programming. The most logical representation would be using \(a = \frac{2}{14}p\).
If any of the answers had used \(a = \frac{1}{7}p\) or noted \(a = 2 \times (334/14)\), that would have been the correct choice.
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