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3 years ago

9

What is the answer to this question

1 answer:

Lady_Fox [76]3 years ago

5 0

Answer:

The term rate refers to a quantity of one item in relation to another item used as a standard. A popular example is speed. Speed is a measure of distance traveled through time and is measured as meters per second. Another example is acceleration, which is a measure of speed through time or simply how fast an object is gaining speed and is measured in meters per second squared.

Step-by-step explanation:

Example: For example, if it is a mile, you count how many feet are in that mile.

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f(x) = 20(1.5)x. Let your dependent variable in the function be y. Write the function that models the independent variable in te

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Answer:

$x=log_{1.5}(\frac{y}{20})$

Step-by-step explanation:

Considering the function:

$f(x) = 20\, (1.5)^x$

The independent variable is "x" and we are asked to model it in terms of the variable "y":

$f(x) = 20\, (1.5)^x\\y=20\, (1.5)^x$

Then, in order to solve for x (which resides in the exponent), we need to use the logarithm function.

Since the base of the exponent is 1.5, we need to use the logarithm base 1.5, to lower that exponent "x":

$y=20\, (1.5)^x\\\frac{y}{20} =(1.5)^x\\log_{1.5}(\frac{y}{20}) =x\\x=log_{1.5}(\frac{y}{20})$

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