Paul paid $ 25.50 for 3 cups of hot chocolate and cups of tea. the cost of each cup of tea was 2/3 the cost of each cup of hoy chocolate. how much did each cup of hot chocolate cost?

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.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total