Question

Greta has already prepared 4 kilograms of dough and will continue preparing 2 kilograms of dough every hour. Write an equation that shows the relationship between the hours worked x and the dough prepared y. Write your answer as an equation with y first, followed by an equals sign.

Answer 1

The equation showing the relationship between hours worked, x, and the total dough prepared, y, after Greta has already made 4 kilograms is y = 4 + 2x.

Step-by-step explanation:

The relationship between the hours worked, x, and the dough prepared, y, when Greta has already prepared 4 kilograms of dough and continues to prepare 2 kilograms of dough every hour can be represented by a linear equation. To formulate this equation, we start with the initial amount of dough and add the amount of dough prepared per hour times the number of hours worked. This yields the equation:

y = 4 + 2x

Here, y represents the total kilograms of dough prepared, 4 stands for the initial 4 kilograms of dough, x represents the number of hours worked, and 2 corresponds to the kilograms of dough prepared each hour.