Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:
In which k is the growth rate.
By separation of variables, the solution is given by:
In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is
Answer:
not direct variation
Step-by-step explanation:
The equation for x and y in direct variation is
y = kx ← k is the constant of variation
y = 
is not in this form, thus not direct variation.
The equation for x and y varying inversely is
y = 
← k is the constant of variation
y = is in this form and represents inverse variation
Answer:
a. 24.5 $
b. 10.5 $
c. 7/10
Step-by-step explanation:
Given the original price of the sweater is: $ 35.
a) If you pay only 
of the price, then the actual amount paid is: 
= 24.5 $.
b) Total amount Saved = Actual price - Price you paid
Total Amount Saved = 
= 10.5 $.
c) Fraction of the original price saved = Total amount Spent/Actual Price
Total amount Saved = 
=
