Agold mining company is mining gold in northern california. each mining cart carries an average 500 kg of dirt and
rocks that contain gold from the tunnel. for each 2 metric tons of material (dirt and rocks), the company can extract
an average of 10 g of gold. the average wholesale gold price is $20/g.
a. write a function that represents the relationship between the mass of the material mined in metric tons and
the number of carts. define the input and output.
b. write a function that represents the relationship between the amount of gold and the materials. define the
input and output.
c. write a function that could be used to determine the mass of gold in metric tons as a function of the number
of carts coming out from the mine.
d. determine an appropriate domain and range for part (c).
e. write a function that could be used to determine the amount of money the gold is worth in dollars and the
amount of gold extracted in metric tons.
f. how much gold can 40,000 carts of material produce?
g. how much, in dollars, can 40,000 carts of material produce?