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2 answers:
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Answer:
Step-by-step explanation:
The manufacturing plant earned $80 per man-hour of labor when it opened
The plant earns an additional 5% for every additional man-hour t.
This can be modeled using the function:
where Initial Amount Earned, P=80
Rate of Increase, r=5%=0.05
Therefore, the function that models the amount earned at any time t is:
Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
Hence, our function is: