Balrajmalhi
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The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650.

Respuesta :

carlosego

For this case we have a function of the form:

[tex] y = A * (b) ^ x
[/tex]

Where,

A: initial value of an autographed baseball

b: growth rate

x: number of years

Substituting values we have:

[tex] y = 300 * (1.05) ^ x
[/tex]

For the moment when the value is at least 650 $ we have the following inequality:

[tex] 300 * (1.05) ^ x \geq 650
[/tex]

Answer:

a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650 is:

[tex] 300 * (1.05) ^ x \geq 650 [/tex]

carlosego

For this case we have a function of the form:

[tex] y = A * (b) ^ x
[/tex]

Where,

A: initial value of an autographed baseball

b: growth rate

x: number of years

Substituting values we have:

[tex] y = 300 * (1.05) ^ x
[/tex]

For the moment when the value is at least 650 $ we have the following inequality:

[tex] 300 * (1.05) ^ x \geq 650
[/tex]

Answer:

a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650 is:

[tex] 300 * (1.05) ^ x \geq 650 [/tex]

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