Answer:
The model for the temperature of the drink can be written as

Step-by-step explanation:
For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.
We can model that in this way

If we rearrange and integrate

We know that at time 0, the temperature of the drink was 52°F. Then we have:

We also know that at t=2, T=55°F

The model for the temperature of the drink can be written as

Answer: see Explanation
Step-by-step explanation:
THE GAINEY'S:
Recursive Formula :
A1 = $10
An = An-1 + $10
A2 = $10 + $10 = $20
Where n = day of the month
Explicit formula :
y = a + b(c - 1)
WHERE:
y = final amount
initial amount = a
Increment on initial amount = b
Day of the month = c
THE ARNOLD'S :
Recursive formula:
First day of the month (A1) = $10
An = 2(An-1)
A2 = 2(A1) = 2(10) = $20
A3 = 2(A2) = 2(20) =$40
Explicit formula:
y = a(b)^c
Where :
y = final amount
initial amount = a
Increment on initial amount = b
Day of the month = c
Answer:
8.9
Step-by-step explanation:
The distance between each point is 8.9, hope this helps!
15.5 I believe but don’t hold me to it!