The cost c (in dollars) of running a gift shop for x days is represented by the equation c=3x +1500. the revenue r (in dollars) is represented by the equation r=600x. how many days will it take for the gift shop to break even?

2.5 days

Step-by-step explanation:

Costs and Revenues as Functions

We can model economics magnitudes like cost, revenue, profit, and many others as functions. They allow us to explain and predict the behavior of those magnitudes and eventually make decisions over the business.

The gift shop needs C=3X +1500 dollars to run for X days. Besides, the revenue R is R=600X. We need to find the value of X, where the gift shop breaks even (no loss, no profit). We only need to set up the equation

Let's solve for X

The problem has little sense because 2.5 days is not an adequate value for the number of days. It seems like the Revenue function is wrong. Let's try R=6X:

x=500 days

It means that the gift shop needs almost 1 year and 5 months to break even.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

9 x 8 divided by (5-3)=36