Please help me with my homework asap 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 pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/ft2 of pressure is exerted by a force on an area of 3 ft2 , what is the pressure exerted by the same force on an area of 6 ft2?

A.) 16 N/ft2

B.) 8 N/ft2

C.) 32 N/ft2

D.) 4 N/ft2

Answer 1

1) The exponential formula is:

V(t) = V₀·(1 + rate)^t

1. V(t) = Value at time t
2. V₀ = starting value = $28,900
3. rate = depreciation rate expressed as a decimal = -0.15
4. t = time (years)

The rate is negative because the value is decreasing, hence it is a decay. Plug the numbers into

the general formula to get the answer.

2) P = k/A where P = pressure, k is a constant, and A = area.

P = kA

PA = k

Since k is the same for all pressures and areas for the force applied:

P₁A₁ = k = P₂A_2·

16·3 = P₂·6

Solve for P₂.