rate of change of monthly sales given by s'(t)=400t^1/2, w/

[pip]

the rate of change of the monthly sales of a new home video game cartridge is given by s'(t)=400t^1/2 s(0)=0 where t is the number of months since the game was released and s(t) is the number of cartridges sold each month. Find s(t). when will the monthly sale reach 25,000 cartridges?

Am I right, and have I completed the question?

s(t)=400t^1/2

400t^3/2 / 3/2 2/3X400= 266.67

25000/800/3 = 93.74


??? t=20.64, (answer from teacher) but not sure how she got this.

Any help would be appreciated.

 

[Deleted member 4993]

Re: rate of change

the rate of change of the monthly sales of a new home video game cartridge is given by s'(t)=400t^1/2 s(0)=0 where t is the number of months since the game was released and s(t) is the number of cartridges sold each month. Find s(t). when will the monthly sale reach 25,000 cartridges?

Am I right, and have I completed the question?

s'(t)=400t^1/2 <<< You missed the prime sign

s(t) = 400t^3/2 / (3/2) + C

Now evaluate C from given initial condition

Then evaluate, "t" for s(t) = 25000