Select ALL the correct answers.

A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.




The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.




Select the statements that give a correct interpretation of the above expressions.


Expression A grows at a rate of 5% every three months, while expression B decays at a rate of 12% every four months.

Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months.

Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.

Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.

Expression A has an initial value of 624, while expression B has an initial value of 725.

Respuesta :

Expression A decays at a rate of 5% every three months, while Expression B grows at a rate of 12% every four months  and  Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

What is an Expression ?

It is a mathematical statement tat consists of variables , constants and mathematical operators.

It is given that

The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.

The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.

[tex]\rm Expression\; A = 624(0.95)^{4t}\\\\Expression \; B = 725(1.12)^{3t}[/tex]

From observing both the expression the initial value is when t = 0

when t = 0,

A = 624

B = 725

and so Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months  and  Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.

To know more about Expression

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