A farmer collected some eggs and is packing them in cartons of 12. After the farmer packed 14 cartons, there are still 312 eggs left to package.
Question 1
Part A
Write a function to model the number of eggs left to be packed after packing x cartons.
Enter the correct expression in the box to complete the equation.
I would tell you a joke about an egg, but it's not all it's cracked up to be.
The number of eggs left to be packed after packing x cartons can be represented by the expression:
312 - 12x
To write a function to model the number of eggs left to be packed after packing x cartons, we need to establish the relationship between the number of cartons packed and the number of eggs remaining.
Given that each carton contains 12 eggs, we can start by multiplying the number of cartons by 12 to determine the total number of eggs packed so far. Then, subtract this total from the initial number of eggs to find the number of eggs remaining.
The expression to represent the number of eggs left after packing x cartons is:
Total eggs remaining = (Initial number of eggs) - (Number of cartons packed * Eggs per carton)
In this case, the initial number of eggs is 312 eggs (as given in the problem), and the number of cartons packed is x (as mentioned in the question). The number of eggs per carton is 12.
Therefore, the correct expression to complete the equation is:
Total eggs remaining = 312 - (x * 12)
12
if starting with N eggs, then after c cartons are packed there are
f(c) = N - 12c eggs left
You know that f(14) = 312
so now you can find N.