SOLUTION: Identical nickels are placed in a container and the total mass is recorded. The table gives information about the total mass of different numbers of nickels in the container. numb

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Question 1081205: Identical nickels are placed in a container and the total mass is recorded. The table gives information about the total mass of different numbers of nickels in the container.
number of nickels(n) total mass (g)
4 ------ 60g
6 ------ 65g
10 ------ 75g
Use the data to determine the number of nickels in the container when the total mass is 185g. Justify your answer.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
number of nickels(n) total mass (g)   slope
 4                   60g
 6                   65g              5/2
10                   75g              10/4=5/2


Point-Slope equation form, g-75=%285%2F2%29%28n-10%29

g-75=5n%2F2-25
g=5n%2F2-25%2B75
highlight%28g=5n%2F2%2B50%29--------the container by itself is mass of 50 grams.

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Let g=185, and find n.
5n%2F2=185-50
5n%2F2=135
n=%282%2F5%29135
highlight%28n=54%29