Question

You take a package to the local shipping company. They charge a fixed base cost of $5 per package plus an additional $0.33 per pound. If P represents the number of pounds of your package, and C is the total cost of shipping your package, which of these is the correct relationship between P and C?

Answer 1

@Extrinix

Answer 2

C=0.05P+33

P=0.33C+5

P=0.05C+33

C=0.33P+5

Answer 3

Here's a similar question. I've just changed the numbers around.

The company charges $7 per package plus an additional $0.65 per pound.
If P is the number of pounds, and C is the total cost, then what is the equation connecting the two?

The answer would be C = 0.65P + 7
This is because we are charged the base fee of $7 no matter what the weight is
Then on top of this 7 dollars, we have an additional 0.65P dollars.

We can think of it like this
1 pound = 0.65*1 dollars
2 pounds = 0.65*2 dollars
3 pounds = 0.65*3 dollars
and so on
In general
P pounds = 0.65p dollars
Again this is added onto the initial base fee of $7