A video rental company charges a membership fee of $10 plus $5.50 for each movie rented. If the slope of the function were to decrease, how would that effect the price of renting a movie?
I got no but correct me if I'm wrong correct me!! If it is no how would it be?
y = 5.5x + 10
m = 5.5
membership charge $10
Plus fee $5.5
You are correct! If the slope of the function were to decrease, it means that for every additional movie rented, the increase in price would be smaller. Therefore, it would actually result in a decrease in the price of renting a movie.
To understand the concept of slope and its effect on the price of renting a movie, let's break down the given information and equation. The video rental company charges a membership fee of $10, which is a fixed cost and does not change based on the number of movies rented. In addition to the membership fee, they charge $5.50 for each movie rented.
Let's express this information in the form of a mathematical equation:
P = 10 + 5.50m
Where:
P represents the total price of renting a movie(s), and
m represents the number of movies rented.
In this equation, the coefficient (5.50) of the variable (m) represents the slope of the function. The slope determines how much the price increases for each additional movie rented.
If the slope were to decrease, let's say to 4.50, the equation would become:
P = 10 + 4.50m
Now, with this new slope, the price of renting a movie would increase at a slower rate compared to the initial slope of 5.50. In other words, the price of renting a movie would decrease, meaning each additional movie rented would be cheaper.
So, in conclusion, if the slope of the function decreases, the effect on the price of renting a movie is that the price per movie decreases.