Question

PLZ SOMEONE HELP ME! :(



1. Identical pennies are places in a container and the total mass is recorded. The table attached gives information about the total mass of different numbers of pennies in the container.
a) Use the data to determine the equation that relates the number of pennies and the total mass.
b) Use the equation to determine the number of pennies in the container when the total mass is 185 g.

Answer 1

i did :P

Answer 2

and nice job becoming a qualified helper man! I wish i could be an ambassador. :/

Answer 3

well we either want a line of best fit, or a polynomial that hits all these values.

what class is this for?

Answer 4

Math class, this is a question for an assignment due tomorrow

Answer 5

math class ..... a general math class, are you covering variation analysis, statistical modeling, or polynomial functions

Answer 6

Im pretty sure this is linear equations....

Answer 7

identical pennies, so they should have no variation among them ... then you should be able to determine a linear relationship is the slope between the points constant?

Answer 8

Thats true. :)

Answer 9

what is our slope?

Answer 10

I see where you are getting at

Answer 11

number of pennies is x and total mass is y

Answer 12

so I can two points and find the slope from there :D

Answer 13

take*

Answer 14

correct

and then we just use any stated point as a reference for the line using point slope form

y - y1 = m(x-x1)

Answer 15

well my teacher taught me m = y2 - y1 over x2 - x1 (is that still the same thing as you stated?)

Answer 16

yes, thats the value of m in the setup.

something i find peculiar tho ... we would expect 0 pennies to have a mass of 0 but the problem isnt really thinking that far into it.

Answer 17

60 to 65 is +5
2 to 4 is +2

m = 5/2 if its constant for all paired points

Answer 18

oh so is that our slope?

Answer 19

what do you get?

Answer 20

im prone to error so i woulnt say im right ... but you can verify by your own work

Answer 21

yea your right
I got the same thing \[\frac{ 5 }{ 2 }\]

Answer 22

then we have a slope, what point is your favorite to use? so we build the equation.

Answer 23

(4, 60) :)

Answer 24

then what is our construction of the line now?