Question

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

i will give medal and fan

Answer 1

c(x) = 1.50 + 1.25x

Answer 2

The "x" variable represents each night Michelle, in your given scenario, will keep the movie. The flat fee of 1.50 is added to the grand total to find c(x).

Answer 3

\(\large y = mx + b\)

m is the slope (unit rate)
b is the y-int (initial value)

we have a flat fee which cannot be resisted but notice that there is $1.25 which will be added on every night (since we don't know the number of days, we will leave it as \(x\)) .

thus we would have:
\( \large c(x) = 1.25x + 1.50\)

Answer 4

do you see how it makes sense with the \(\color{green}{\text{Slope-intercept form}}\)?

Answer 5

Replace the "x" variable and solve accordingly to find your solution if you're seeking for an answer for a specific number of nights.

Answer 6

so the answer is a?

Answer 7

Yes.

Answer 8

@calculusxy

Answer 9

yes :)

Answer 10

thank you everyone!!!!

Answer 11

\(\huge \scr \color{blue}{WELCOME}\)