Question

Anna and zoe both worked at the coffee shop today. anna's total cups of coffee made is represented by f(x); and zoe's total cups of coffee made is represented by g(x). use the functions below to write a function that represents the total cups of coffee they made today.

f(x) = 5x − 2
g(x) = 4x + 1

A. x − 1
B. x − 3
C. 9x + 1
D. 9x − 1

Answer 1

The function that represents the total cups of coffee Anna and Zoe made is the sum of their individual functions, which is 9x - 1, corresponding to option D.

Step-by-step explanation:

To find the function that represents the total cups of coffee made by Anna and Zoe at the coffee shop today, we simply need to add their individual functions together.

Anna's total cups of coffee made is represented by f(x) = 5x − 2, and Zoe's total cups of coffee made is represented by g(x) = 4x + 1. Adding these two functions will give us:

f(x) + g(x) = (5x - 2) + (4x + 1)

Combining like terms, we get:

5x + 4x - 2 + 1 = 9x - 1

Therefore, the function that represents the total cups of coffee made by both Anna and Zoe today is 9x - 1.

This corresponds to option D. 9x − 1 as the correct answer.