Hello I need assistance with my math homework please help as soon as possible please thank you

Question

1.) The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the function represent growth or decay?

A.) V(t) = 28900(0.15)t; decay

B.) V(t) = 28900(0.85)t; decay

C.) V(t) = 28900(0.85)t; growth

D.) V(t) = 28900(0.15)t; growth

 

 

2.) The value of a treadmill bought new for $1000 decreases 5% each year. Use a graph to predict the value of the treadmill in 5 years.

A.) ≈ $902.50

B.) ≈ $773.78

C.) ≈ $814.50

D.) ≈ $857.38

Answer 1

Hi Stephany K.

Both questions are Decays because they refer the depreciation in value over time of devices, machines compared to their condition and cost when they were new

See the comments above

Decay is typically

y = a(1-r)^x

Where

a is initial cost (the amount before measuring the growth or decay

r is the rate of decay given as a percent to be written as a decimal in the calculation (1-r)

x is the amount time in years (also the number of time intervals that have passed)

For question 1

x = 1

a = 289000

r = 15% or 0.15

y = 289000(1-0.15) = 289000(0.85)¹

For quesstion 2

x = 5

a = 1000

r = 5% or 0.05

y = 1000(1-0.05)⁵

Try the calculation on your calculator, plot it on a graphing calculator or at desmos.com. I got B for both questions

I hope this helps.