Answer:
The total number of cups of coffee is 12x - 3 ⇒ last answer
Explanation:
- Madden and Jenn both worked at the coffee shop today
- Madden's total cups of coffee made is represented by f(x) = 7x - 4
- Jenn's total cups of coffee made is represented by g(x) = 5x + 1
- We want to write a function represents the total cups of coffee they
made together
∵ f(x) represents the number of cups of coffee that Madden made
∵ f(x) = 7x - 4
∵ g(x) represents the number of cups of coffee that Jenn made
∵ g(x) = 5x + 1
- To find the total cups they made together we will add the two
functions f(x) and g(x)
∵ f(x) + g(x) = (7x - 4) + (5x + 1)
- Add like terms
∴ f(x) + g(x) = (7x + 5x) + (-4 + 1)
∴ f(x) + g(x) = 12x + (-3)
-Remember (+)(-) = (-)
∴ f(x) + g(x) = 12x - 3
* The total number of cups of coffee is 12x - 3