Answer: P(t) = $1000*2^t
Step-by-step explanation:
Ok, we know that in the week 1 the price is: p = $1000
After one week, the price doubles, so here we have: p = 2*$1000
After another week, the price doubles again, here the price is:
p = 2*(2*$1000) = $1000*2^2
Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.
Then, for week number t, the price will be:
P(t) = $1000*2^t
