Question

Define a function to represent the number of tiles on the mural in any week:

a) f(w) = 7w
b) f(w) = 3w + 5
c) f(w) = 4w²
d) f(w) = 10w - 2

Answer 1

The function f(w) = 3w + 5 represents the number of tiles on the mural in any week. The rate of increase is 3 tiles per week, starting with an initial count of 5 tiles.

Step-by-step explanation:

The function f(w) = 3w + 5 represents the number of tiles on the mural in any week. The function is in the form f(w) = mw + b, where m represents the rate of change of tiles per week and b represents the initial number of tiles. Here, m = 3 and b = 5. So, for each week, the number of tiles on the mural will increase by a rate of 3 and start with an initial count of 5 tiles.