Question

Write two equations with variables that Jessie can use to find the amount of money she will earn if she sells all of the bags.

Option 1: Let x be the number of bags sold, then the total earnings can be calculated as 6x.
Option 2: Let y be the number of energy bars, then the total number of bags can be represented as y/24.
Option 3: Let z be the total number of energy bars, then the total earnings can be expressed as 312/24 * 6.
Option 4: Let m be the total earnings, then the number of bags sold can be given by m/6.

Answer 1

Jessie can use linear equations to calculate her earnings from selling bags, with one option as E = 6x representing earnings based on the number of bags sold, or E = 6(y/24) relating earnings to the number of energy bars sold, assuming 24 bars per bag.

Step-by-step explanation:

Linear Equations and Function Formulas

To find the amount of money Jessie will earn from selling all of the bags, we have to define a variable associated with the bags or the earnings and create an equation. Let's explore a couple of options for Jessie's scenario:

• Option 1: Let x represent the number of bags sold. The total earnings is then E = 6x, where 6 is the amount earned per bag sold.
• Option 2: If y represents the number of energy bars, and knowing that there are 24 energy bars in each bag, the total number of bags is B = y/24, and the total earnings can be calculated as E = 6(y/24).

These linear equations resemble the scenario presented in the reference example of Svetlana's tutoring sessions, where for each session the earnings are calculated with a linear formula of y = 25 + 15x.