A print shop purchases a new printer for $25,000. The equipment depreciates at a rate of 5% each year. The relationship between the value of the printer, y, and the year number, x, can be represented by the equation, y = 25,000 • 0.95 x .

Complete the table below with the value of the printer, to the nearest cent, in years 1, 2, and 3. Include proper commas and decimals in your answer.

x y
0 25,000
1 a0
2 a1
3 a2

Respuesta :

to complete the table, just use the given equation to solve for the corresponding values of y. and i think the formula is wrong, it should be
y =  25,000 • 0.95^x

at x = 1
a0 = y = 25,000 • 0.95^x
 
a0 =  25,000 • 0.95^(1)
a0 = 23750.00

at x = 2
a1 =
y =  25,000 • 0.95^x
a1
25,000 • 0.95^( 2 )
a1 = 22562.50

at x = 3
a2 =
y =  25,000 • 0.95^x
a2 = 
25,000 • 0.95^( 3 )
a2 = 21434.38

The values that complete the table are, 23750.00, 22562.50 and  21434.38

Exponential function

The standard exponential function is expressed as:

y = ab^x

In order to complete the table, use the given equation to solve for the corresponding values of y.

Given the equation:

y =  25,000 • (0.95)^x

If x = 1

a0 = y = 25,000 • 0.95^x

a0 =  25,000 • 0.95^(1)

a0 = 23750.00

If x = 2

a1 = y =  25,000 • 0.95^x

a1 =  25,000 • 0.95^( 2 )

a1 = 22562.50

If x = 3

a2 = y =  25,000 • 0.95^x

a2 =  25,000 • 0.95^( 3 )

a2 = 21434.38

Hence the values that completes the table are, 23750.00, 22562.50 and  21434.38

Learn more on exponential function here: https://brainly.com/question/12940982