Aysah wants to vend tea at the Wednesday Wellness Fair. She buys a pitcher and sachet tea bags from a store for this purpose. While vending, the cost for each cup of will be the same. If Aysah sells 48 cups of tea, she will have a profit of $144. If she sells 20 cups of tea, she will have a profit of $60.

Determine the rate of change for a function that represents Aysah's profit, y, in dollars, from selling x cups of tea.

Option C is the correct answer.

Step-by-step explanation:

In 1954, there were 203 stamps in the collection and in 1990 there were 383 stamps in the collection.

We can find number of stamps collected per year using this

Stamps collected from 1954 to 1990 = 383 - 203 = 180

Number of years = 1990 - 1954 = 36

Stamps collected per year

This is an example of arithmetic progression given like

      a, a+5, a +10.........

Now we need to find first term of this AP

We have term of an AP given by a + (n-1)d

We also have n 1954, there were 203 stamps in the collection ( n = 1954-1914 + 1 = 41)

      a + (n-1)d = 203

      a + (41 - 1) x 5 = 203

      a = 3

Now we need to find number of stamps were in the collection at the end of 2000 (n = 2000 - 1914 +1 = 87),

      Number =  a + (n-1)d = 3 + (87-1)5 = 433

Number of stamps were in the collection at the end of 2000 = 433

Option C is the correct answer.