Question

PPPLLLZZZ. HELP!!!!!!!!!!
Mr. Buff has done 50 push-ups today. Tonight when he is watching t.v. he is going to do 15 push-ups during every commercial break. P stands for the total push-ups Mr.Buff has done today and c stands for the number of commercial breaks.

Write an equation for P in terms of c.

Answer 1

how far did you get with this?

Answer 2

it might help to think of it like this


has already done 50

commercial break #1: 50 + 15*1

commercial break #2: 50 + 15*2

commercial break #3: 50 + 15*3

etc etc

try to generalize this for c commercial breaks

Answer 3

The total HAS to include the 50 push ups right?
And with each commercial he does 15! So 15 * number of commercial breaks??
Now the total is always the sum?
You get the answer! :)

Answer 4

So if c=2 then the equation would be 50+15(2)=P?

Answer 5

yep that's correct

Answer 6

Good job! :)

Answer 7

so to go from a particular example of 50+15(2)=P to a more general equation, replace 2 with c to get 50+15c=P

and you can rearrange things to get

P = 15c + 50

Answer 8

And then when you generalize that by putting the actual number of pushups (c)
You will get your equation! :)

Answer 9

which hopefully you can see at this point

Answer 10

I recommend you use other values of c (like c = 3, c = 4, etc) to find the number of pushups done after 3, 4, ... commercial breaks

Answer 11

I was only in class one day when they were doing graphs. Do you still write out the equation the same or wats different

Answer 12

not sure what you mean

Answer 13

but to graph this, you just need 2 points

Answer 14

We have to use 0,2,5 & 10 for c and. Figure out P

Answer 15

Rise over run

Answer 16

to get any point, you plug in a value of c to get a corresponding value of P

eg:

when c = 0

P = 15c + 50

P = 15*0 + 50

P = 0 + 50

P = 50

so one point is (0, 50)

Answer 17

what's another point?

Answer 18

2, 5, and 10

Answer 19

when c = 2, what is P?

Answer 20

30

Answer 21

not quite

Answer 22

P = 15c + 50

P = 15*2 + 50 ... replace c with 2 (since c = 2)

P = ??

Answer 23

80

Answer 24

good

Answer 25

so (2,80) is another point

Answer 26

what about c = 5?

Answer 27

technically you just need 2 points to draw this line, so you could stop at plotting those two

Answer 28

Thank you for helping explain that better

Answer 29

you're welcome

Answer 30

P=15c+50
P=15*5+50
p=125

Answer 31

so (5,125) is another point on this line

Answer 32

10,150

Answer 33

that's a bit off

Answer 34

200

Answer 35

you forgot to add on 50

Answer 36

yep, (10,200) is another point

Answer 37

I was just about to say that lol

Answer 38

lol good catch