3 years ago

What is the equation of the exponential curve that passes through the points (0,3) and (5,96)?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

5 0

Answer:

M=93/5

Step-by-step explanation:

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A manufacturing plant earned \$80$80dollar sign, 80 per man-hour of labor when it opened. Each year, the plant earns an addition

vagabundo [1.1K]

Answer:

$A(t)=80(1.05)^t$

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:

$A(t)=P(1+r)^t$

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:

$A(t)=80(1+0.05)^t\\A(t)=80(1.05)^t$

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