Question

Pls this is important or else ill get an F pls i need someone smart to solve it

Answer 1

analyze picture

com loses 1/4 of its value after every year it is purchased

v = original price times 1/4 x times(x represents)

v = 800*(3/4)^x

so, if x is five, then t is

800*(3/4)^5= 189 27/32

Answer 2

`v=800(0.75)^t`

$189.84 (nearest cent)

Explanation:

If a computer loses 1/4 of its value each year, then each year it will be 75% of the value of the previous year, since 100% - 25% = 75%.

Therefore, we need to model this as an exponential function.

General form of an exponential function:
`y=ab^x`

where:

• a is the y-intercept (or initial value)
• b is the base (or growth factor) in decimal form
• x is the independent variable
• y is the dependent variable

From the given information:

• a = $800
• b = 75% = 0.75
• x = t
• y = v

Substituting the values into the formula:

`\implies v=800(0.75)^t`

When x = 5, t = 5

`\implies v=800(0.75)^5=189.84375`

⇒ v = $189.84 (nearest cent)