Question

A machine used to make badges costs $150. It costs $2 to make each badge. Part A: Write a function to show the total cost f(n) of making n badges. (4 points) Part B: What is the total cost of making 20 badges? (4 points) Part C: If the cost of the machine was $20 more, what would be the cost of making 7 badges? (2 points) Can anyone help? please

Answer 1

A. 150+2n
you have a set amount of 150 for the machine and then plug the number of badges,n, each costing 2

Answer 2

i am still a little confused

Answer 3

How much does it cost to make 1 badge?

Answer 4

$2.00 to make each badge

Answer 5

So to make 2 badges is $2.00(2)
So to make 3 badges is $2.00(3)
So to make 4 badges is $2.00(4)

How much to make n badges?

Answer 6

14 am i right?

Answer 7

So to make 2 badges is $2.00(2)
So to make 3 badges is $2.00(3)
So to make 4 badges is $2.00(4)
So to make n badges is $2.00n

Answer 8

ok?

Answer 9

im still confused i know that to make a badge it cost $2.00

Answer 10

Maybe you are confused by the letter n. Let's use the letter x. If it cost $2 for one badge, how much for 2 badges?

Answer 11

$4.00

Answer 12

How much for 3 badges?

Answer 13

$6.00

Answer 14

How much for 8 badges?

Answer 15

$16.00

Answer 16

How much for 13 badges?

Answer 17

$26.00

Answer 18

How much for x badges?

Answer 19

x badges cost 2x

Answer 20

y badges cost 2y

Answer 21

z badges cost 2z

Answer 22

a badges cost 2a

Answer 23

b badges cost 2b

Answer 24

so x=2?

Answer 25

c badges cost 2c

Answer 26

d badges cost 2d

Answer 27

Let's say you babysit and earn 5 dollars per hour. How much would you earn if you worked x hours?

Answer 28

but i still dont know x

Answer 29

That is exactly the point. x represents an unknown number. But however many hours it is, it must be multiplied by 5 to find how much the people owe you for watching their little brat.

Answer 30

haha so i need to answer three parts of the question

Answer 31

It is the same with the badges. You don't know how many badges are going to be made but you know that each one costs 2 dollars. So for an unknown number of badges ...let's say for n badges...it will cost 2n to make them plus the cost of the machine.

Answer 32

ok i get that

Answer 33

so to make n badges, it costs 150+2n

Answer 34

yes