Question

one group collected data for multiple pennies and graphed the relationship above. according to the data, what is the mass of an average penny? if you had a bag of 75 pennies, what would be its mass? if you emptied your piggy - bank of pennies at a coinstar machine and it had a mass of approximately 2275 grams, how much money was in your piggy - bank? 2.611 g $8.71 g

Explanation:

Step1: Find the mass of an average penny

The mass of an average penny is given as $2.611$ g.

Step2: Calculate the mass of 75 - penny bag

We know that mass of one penny is $2.611$ g. For 75 pennies, we use the formula $m = n\times m_1$, where $n = 75$ (number of pennies) and $m_1=2.611$ g (mass of one penny).
$m=75\times2.611 = 195.825$ g

Step3: Calculate the number of pennies in the pig - gy bank

We know the mass of the pennies in the pig - gy bank is $2275$ g and mass of one penny is $2.611$ g. The number of pennies $n=\frac{2275}{2.611}\approx871.31$

Step4: Calculate the money in the pig - gy bank

Since each penny is worth $0.01$ dollars, the total money $M = n\times0.01$. Substituting $n = 871.31$, we get $M=871.31\times0.01 = 8.7131\approx8.71$ dollars

Answer:

1. Mass of 75 - penny bag: $195.825$ g
2. Money in pig - gy bank: $\$8.71$