SOLUTION: I need the answer to this question: Since Pure gold is very soft, other metals are often added to gold to make an alloy that is stronger and more durable. the relative amount of

SOLUTION: I need the answer to this question: Since Pure gold is very soft, other metals are often added to gold to make an alloy that is stronger and more durable. the relative amount of

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Question 1045706: I need the answer to this question:
Since Pure gold is very soft, other metals are often added to gold to make an alloy that is stronger and more durable. the relative amount of gold in a piece of jewelry is measured in karats. The formula is , where k represents karats and g is the percent of gold in the piece.
a) Determine the domain and range values for which this function makes sense.
b) Graph the function and describe the graph.
c) How many karats are in a ring made of pure gold
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

a. Let's deal with the range first. An item of jewelry cannot have less than zero percent gold and it cannot be more than 100 percent gold. Hence, a valid real-world range for this function is

.

Then, solving for

using the extreme values of the range, we get a domain of

b. It is a linear function with a slope of

that intercepts the axes at the origin.

c. Substitute 100 for

and then solve for

John

My calculator said it, I believe it, that settles it

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