To determine how to calculate the number of advertisements (a) that will run with a program that lasts 334 hours (p), we need to first establish the relationship between advertisements and hours of programming.
From the information provided, the station runs 2 advertisements for every 14 hours of programming. This can be simplified to a ratio:
- For every 14 hours of programming, there are 2 advertisements.
To express this as an equation, we can find out how many advertisements are run per hour:
\[ \text{Advertisements per hour} = \frac{2 \text{ ads}}{14 \text{ hours}} = \frac{1}{7} \text{ ads per hour} \]
To find the total number of advertisements (a) for a program of length 334 hours, we multiply the number of ads per hour by the total number of hours:
\[ a = \left(\frac{1}{7}\right) \times 334 \]
Alternatively, we can also express this as:
\[ a = 2 \times \frac{334}{14} \]
This would yield the same result.
Now let's review the provided answer options:
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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 because the equation uses 18 instead of the correct coefficients.
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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 because it uses 8, which is not derived from the problem statement.
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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 for the same reason as the first option.
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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 for the same reason as the second option.
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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 due to the incorrect coefficient.
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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 for the same reason as above.
None of the provided options correctly establish the relationship as derived from the information given.
The correct way to express it is:
- a = (2/14)p = (1/7)p.
- To find the number of advertisements, a = (1/7) * 334.
Thus, all listed options are incorrect! The best answer to provide should reflect an equation based on correct proportions and calculations.
1 answer