Could you please help me with function? Thanks?

Question

1. John bought a boat with a down payment of $3,000 and monthly payment of $150.

a. Write a formula for the amount paid p as a function of the number of months n he has been paying.

b. Find the total paid for the boat if payments last 3 years.

2. The formula S=m+m^2/ gives the stopping distances in feet as a function of the car's speed m in miles per hour. How far does a car traveling 60 mph skid before it stops?

3. Use the formula V=e^3 to find the volume of air in a cube-shaped box with edges 15 centimeters long.

Answer 1

a.  p(n)=150n+3000

b.  3 years = 36 months (n)

p(36)=150*36+3000=8400

2.  S=60+3600=3600 feet

3.  V=15*15*15=3375  

Answer 2

n = $3000 + 150n  [ John has paid $3000 down plus $150 per month for n months. ]

p = $3000 + $150n

p = $3000 + $150*36

p = $3000 + $5400

p = $8400

S=m+m^2

S=60 + 60²

S=60 + 3600

S= 3660

V=e³

V=15³

V=3375 cubic centimeters

Answer 3

1. a. p = 3000 + 150n

b. p = 3000 + 150*36 = $8400

2. S = 60 + 60^2 = 3660 feet

3. V = (15)^3 = 3375 cm cubed

Good luck to you !