Evan earns money for doing chores. He earns $3 for putting away laundry and $4 for unloading the dishwasher. Evan wants to earn a total of $36. Let x represent the number of times Evan puts away the laundry and y represent the number of times he unloads the dishwasher. Write a linear equation for the situation and determine which ordered pair below would be a solution. a.(0,8) b.(4,6) c.(3,6) d.(1,12)

Answer:B(4,6)

Step-by-step explanation: ima pro at math

3*4=12+           6*4=24

=36

The linear equation representing the situation is 3x + 4y = 36 and the coordinate (4, 6) represents the solution of this linear equation.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Evan who earns money for doing chores. He earns $3 for putting away laundry and $4 for unloading the dishwasher.

Assume that [x] represent the number of times Evan puts away the laundry and [y] represent the number of times he unloads the dishwasher.

The total money Evan needs = $36.

We can write the linear equation representing the situation is as follows -

3x + 4y = 36

It can be seen that, the coordinate (4, 6) would be the solution of the linear equation as -

3 x 4 + 4 x 6 = 12 + 24 = 36

Therefore, the linear equation representing the situation is 3x + 4y = 36 and the coordinate (4, 6) represents the solution of this linear equation.

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