SOLUTION: HI! i need desperate help! please help me ! Any help will be Greatly appreciated!! graph the following information and see the q uestions below and answer them mass

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Question 126330: HI!
i need desperate help!
please help me ! Any help will be Greatly appreciated!!



graph the following information and see the q uestions below and answer them
mass of loonies (g) , #of loonies
21 , 3
63 , 9
175 , 25
98 , 14
112 , 16

a) what is the mass of 33 loonies?
b) What is teh value of 133g of loonies?
c) A bag contains 152 g of coins. Is it possible that it contains only loonies? EXplain

Ps: the graph should be according with the questions I mean the values for teh x and y axis
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!



Finding the equation and graphing
Part A
Part B
Part C




Let x=mass of loonies (g) and y= # of loonies


When , . So we have the first point (21,3)


When , . So we have the second point (63,9)



So let's find the equation of the line through the points (21,3) and (63,9)


First lets find the slope through the points (,) and (,)

Start with the slope formula (note: is the first point (,) and is the second point (,))

Plug in ,,, (these are the coordinates of given points)

Subtract the terms in the numerator to get . Subtract the terms in the denominator to get


Reduce

So the slope is


------------------------------------------------


Now let's use the point-slope formula to find the equation of the line:



------Point-Slope Formula------
where is the slope, and is one of the given points

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)


Distribute

Multiply and to get . Now reduce to get

Add to both sides to isolate y

Combine like terms and to get

Remove the zero term




So the equation of the line which goes through the points (,) and (,) is:

The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is

Notice if we graph the equation and plot the points (,) and (,), we get this: (note: if you need help with graphing, check out this solver)

Graph of through the points (,) and (,)

Notice how the two points lie on the line. This graphically verifies our answer.


Jump to Top


a)

"what is the mass of 33 loonies?"


To find the total mass (which is x) simply plug in


Start with the given equation

Plug in


Multiply both sides by 7 to isolate x


Multiply





So 33 loonies weigh 231 g

Jump to Top



b)

"What is teh value of 133g of loonies?"


First let's find the number of loonies (which is y)


Start with the given equation


Plug in


Multiply


Divide


So there are 19 loonies that weigh 133 g. So multiply the value of one loonie by 19 to find the total value.


Jump to Top



c)

Start with the given equation


Plug


Multiply


Divide


Since you cannot have 21.714 loonies, there must be other types of coins.
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