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

@darkknight

Answer 2

@AZ

Answer 3

y = mx + b

m is the slope or rate of change
b is the y-intercept or the initial value

we want to know the total cost of our package C as the package weighs different amounts

so x is P
and y is C

C = mP + b

what is our initial cost? That's the number that belongs in place of b

Answer 4

and the slope or rate of change is the cost that we keep on increasing as the weight increases

Answer 5

replace that number with m

Answer 6

c=5p+ 0.33

Answer 7

was the base price 5 or 0.33?

the initial or base price is the y-intercept

Answer 8

c =0.33p + 5

Answer 9

Look at what it says
0.33 PER POUND

doesn't that sound like a rate to you? we'd be increasing by 0.33 for every pound

Answer 10

now that's correct

Answer 11

THANKS!!! you helped me so much

Answer 12

You're welcome! :D