Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes = ...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)
=
=
=
x=4.5
=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
Answer:
The water level is falling.
The initial level of water in the pool was 3,500 units
The water was 2,600 units high after 4 hours.
Step-by-step explanation:
The given function that models the water level is
where represents time in hours.
The function represents a straight line that has slope
Since the slope is negative, it means the water level is falling.
The initial level of water in the pool can found when we put into the function.
, hence the initial level is 3,500.
To determine the level of water in the pool after 14 hours, we put into the equation to get;
To determine the water level after 4 hours we put
Answer:
x = 1
Explanation:
Rule: log(a) + log(b) = log(ab)
cancel out log on both sides
relocate constant variable
take 3 as a common factor
divide both sides by 3
middle term split
factor common terms
collect into groups
set to zero
relocate variables
There must be a positive solution for log, so the solution is only x = 1