The the cost of a plate is 4 times the cost of a cup write a linear equation in two variables to represent the statement

To write a linear equation in two variables to represent the statement "The cost of a plate is 4 times the cost of a cup," we need to assign variables to the unknowns in the statement. Let's say the cost of a cup is represented by the variable "c," and the cost of a plate is represented by the variable "p."

According to the statement, "The cost of a plate is 4 times the cost of a cup." In equation form, this can be written as:
p = 4c

Here, "p" represents the cost of a plate, and "c" represents the cost of a cup. The equation expresses that the cost of a plate (p) is equal to four times the cost of a cup (4c).

p = 4c

Cost of a cup = $X.

Cost of a plate = $Y.

Y = 4x.