Question

A delivery service charges a base price for an overnight delivery of a package plus an extra charge for each pound the package weighs.
A customer is billed $22.85 for shipping a 3-pound package and $40 for shipping a 10-pound package.

1.) Write an equation that gives the total cost of shipping a package as a
function of the weight of the package.

2.)Find the cost of shipping a 15-pound package

Answer 1

@Jon1122 Let the base price be x and price per pound be y, can you frame an equation for this info.
A customer is billed $22.85 for shipping a 3-pound package

Answer 2

So it would be: Price= Pound(y) + x

Answer 3

X=baseprice

Answer 4

Good, yes, that's the basic equation. We need to find the value of x and y
Now for the first shipment, customer pays 22.85 for 3 pound, can you plugin the values here?

Answer 5

I really have no idea, sorry. If I'm wasting your time you should move onto something else.

Answer 6

no problem dude, I'm here to help.

Answer 7

Do you already know the answer?

Answer 8

We have the base equation as
Total Price= Base Price + Price/pound
Here we have
\[Total Price= x+ y \times P\]
for the first case
P=no. of pounds =3
Total Price= 22.85
so we have
\[22.85=x+3\times P\]

Answer 9

do you follow? No I don't know the answer already

Answer 10

Ok so what's next?

Answer 11

now you use the second info
$40 for shipping a 10-pound package.
can you plugin the values like I did before to make an equation?

Answer 12

40 = 3(x) X p

Answer 13

check again

Answer 14

40 = 3+x times p?

Answer 15

40=x+3y

Answer 16

do you follow?

Answer 17

Yeah

Answer 18

okay, do you know how to solve equations with two variables?

Answer 19

Yes

Answer 20

could you try to find the value of x and y?

Answer 21

No idea....

Answer 22

3 does no go evenly into 40

Answer 23

Ugh I'm so confused :(