Kathleen makes 144 cupcakes each week. Of these she sales 25 each week and gives away the rest. Write a linear function that represents the number of cupcakes Kathleen has given away over time.

f (x) = 119x is the function that represents the number of cupcakes Kathleen has given away over time

Solution:

Given that,

Kathleen makes 144 cupcakes each week

Of these she sales 25 each week and gives away the rest

To find: Linear function that represents the number of cupcakes Kathleen has given away over time

Let "x" be the number of weeks

Number of cakes given away = 144 - 25 = 119

Thus, number of cupcakes Kathleen has given away over "x" weeks is given as:

f (x) = 119x

Where, f (x) is the number of cupcakes Kathleen has given away over "x" weeks