Money made for a sandwich shop was directly proportional to its advertising budget. When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?

120,000

simplest way: by ratio

2000:120000=x:180000
2/120 = x/180000
120x = 360 000
x = 3000

second way

let revenue be R, let Advertising cost be A
then R = kA, where k is a constant

replace the given case where R=120000 and A = 2000
120000=k(2000)
k = 60 000
so R = 60 000A

sub 180000 for R....solve ... A=3000

To find out how much the owner is spending on advertising, we can use the fact that the money made by the sandwich shop is directly proportional to the advertising budget.

We are given that when the owner spent $2000 a month on advertising, the revenue was $120,000.

Let's call the advertising budget A and the revenue R. We can represent the relationship between A and R as R = kA, where k is a constant.

Using the given values, we can substitute A = 2000 and R = 120,000 into the equation:
120,000 = k * 2000

Simplifying, we find:
k = 120,000 / 2000
k = 60

So our equation becomes:
R = 60A

Now we need to find the advertising budget when the revenue is $180,000. Let's call this new advertising budget x.

Substituting R = 180,000 into the equation, we have:
180,000 = 60x

Solving for x, we find:
x = 180,000 / 60
x = 3000

Therefore, the owner is currently spending $3000 on advertising.