Respuesta :
The cost of the sandwiches when n is 3 is $ 18
What is meant by directly proportional?
- When a variable increases or decreases with the increase or decrease in another variable, then the two variables are said to be directly proportional to each other.
- To omit the proportionality sign we need to impose a constant.
How to know what is the cost of the sandwiches ?
According to the problem,
- The cost, c, of a ham sandwich varies directly with the number of sandwiches, n.
So, we can write c = kn, where k is the constant of proportionality.
Again, it is given that
- If c = $54 when n is 9.
So, k = 54/9 = 6
∴ we can write c = 6n
Now, when n = 3 ,
c = 6 x 3 = 18
∴ the cost of the sandwiches when n is 3 is $ 18
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