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3 years ago

Write an exponential model given the two points (6,120) and (7,230)

Mathematics

2 answers:

Andrews [41]3 years ago

8 0

Answer:

hhhhhhh

Step-by-step explanation:

marissa [1.9K]3 years ago

4 0

Answer:

f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

f(x) = 120·(230/120)^((x-6)/(7-6))

f(x) = 120(23/12)^(x-6)

Comment on this model

This could be written in the form ...

f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.

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