Question

Riley buys office equipment with a total price of $6,280 for her new company. If the office equipment depreciates at a rate of 13% each
year, which equation represents the value of the equipment after x years?

Answer 1

Answer: y = 6280(0.87)^x

Step-by-step explanation:

If the office equipment depreciates at a rate of 13% each year, then the rate of depreciation is exponential.

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the value of the office equipment after t years.

x represents the number of years.

b represents the initial value of the office equipment.

r represents rate of decay.

From the information given,

y = $628

r = 13% = 13/100 = 0.13

Therefore, the equation that represents the value of the equipment after x years is

y = 6280(1 - 0.13)^x

y = 6280(0.87)^x