Let's break down the cost structure given in the problem:
- There is a flat fee of $1.50.
- Additionally, there is a charge of $1.25 for each night she keeps the movie.
If \( x \) represents the number of nights Michelle keeps the movie, then the total cost \( c(x) \) can be written as the sum of the flat fee and the variable cost of keeping the movie for \( x \) nights.
The flat fee is $1.50, and the additional cost per night is $1.25, giving us:
\[ \text{Total Cost} = \text{Flat Fee} + (\text{Cost per night} \times \text{Number of nights}) \]
In mathematical terms, this translates to:
\[ c(x) = 1.50 + 1.25x \]
So, the correct cost function that represents this scenario is:
\[ c(x) = 1.50 + 1.25x \]
Michelle rents a movie for a flat fee of $1.50 plus an additional $1.25 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Michelle has the movie.
c(x) = 1.50 + 1.25x
c(x) = 1.50x + 1.25
c(x) = 2.75
c(x) = (1.50 + 1.25)x
1 answer
1 answer