The total cost when she rents 25 movies is $ 57.75
Given that, Nancy joined movies extraordinaire for a $ 8 fee and an agreement to pay $ 1.99 per movie she rents
The equation for her total cost is:
y = 1.99x + 8
Where, "y" is the total cost and "x" is the number of movies she rents
To find: total cost if she rents 25 movies
Therefore,
x = 25
Substitute x = 25 in given equation
y = 1.99(25) + 8
y = 49.75 + 8
y = 57.75
Thus the total cost when she rents 25 movies is $ 57.75
You can use the fact that the variable x is used for representing the amount of movies Nancy rents.
The total cost for Nancy if she rents 25 movies is $57.75
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
Since 1 movie costs $1.99, thus [tex]x[/tex] movies costs [tex]x \times 1.99[/tex] dollars.
Since the extra fees doesn't depend on the number of movies brought and is constant, it is added to the cost of renting x movies, thus,
Total cost for renting x movies = [tex]x \times 1.99[/tex] dollars + $8 additional
or
[tex]y = 1.99x + 8[/tex] (we hide multiply between x and 1.99 and assume it being present between
Since it is said that Nancy rented 25 movies, thus. x = 25
Putting this in the given equation, we get:
[tex]y = 1.99x + 8\\y = 1.99 \times 25 + 8 = 57.75[/tex]
Thus,
The total cost for Nancy if she rents 25 movies is $57.75
Learn more about evaluating variables here:
https://brainly.com/question/8564982
