Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Question 3

Michelle rents a movie for a flat fee of [tex]$1.50 plus an additional $[/tex]1.25 for each night she keeps the movie. Which of the following represents the total cost function [tex]\( c(x) \)[/tex]?

A. [tex]\( c(x) = 1.50 + 1.25x \)[/tex]

B. [tex]\( c(x) = 1.50x + 1.25 \)[/tex]

C. [tex]\( c(x) = 2.75 \)[/tex]

D. [tex]\( c(x) = (1.50 + 1.25)x \)[/tex]

Sagot :

GinnyAnswer
To solve this problem, we need to analyze the cost function [tex]\( c(x) \)[/tex] related to Michelle's movie rental, where [tex]\( x \)[/tex] represents the number of nights she keeps the movie.

Given:
- A flat fee of \[tex]$1.50 when renting the movie. - An additional \$[/tex]1.25 for each night she keeps the movie.

To develop the cost function [tex]\( c(x) \)[/tex], we combine both components:

1. The flat fee of \[tex]$1.50 will be paid regardless of the number of nights. 2. The cost increases by \$[/tex]1.25 for each night [tex]\( x \)[/tex].

Therefore, the cost function [tex]\( c(x) \)[/tex] can be expressed as:

[tex]\[ c(x) = 1.50 + 1.25 \cdot x \][/tex]

Now, let's review the given options:
- [tex]\( c(x) = 1.50 + 1.25 x \)[/tex]: Correct. It accurately represents the initial flat fee plus the variable cost per night.
- [tex]\( c(x) = 1.50 x + 1.25 \)[/tex]: Incorrect. This incorrectly multiplies the flat fee by the number of nights, which is not how the fee is structured.
- [tex]\( c(x) = 2.75 \)[/tex]: Incorrect. This seems to be a miscalculation or a misunderstanding of how fees are structured.
- [tex]\( c(x) = (1.50 + 1.25) x \)[/tex]: Incorrect. This incorrectly suggests that the flat fee and the nightly fee are multiplied by the number of nights.

Therefore, the correct answer is:

[tex]\[ c(x) = 1.50 + 1.25 x \][/tex]
wegnerkolmp2741o

Answer:

A.  c(x) = 1.50 + 1.25x

Step-by-step explanation:

Let x be the number of nights  she keeps the movies

c(x) = flat rate for the rental + cost per night* number of nights

c(x) = 1.50 + 1.25x

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.