Micah sketches the graph below to represent a scenario his teacher gave him. On a graph, a line goes through points (0, 2) and (2, 4).
Which scenario could Micah’s graph represent?
Valerie has $1 and then earns $2 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.
Valerie earns $1 per week (where x is the number of weeks) in allowance and has spent $2, for a total of y dollars.
Valerie earns $2 per week (where x is the number of weeks) in allowance and has spent $1, for a total of y dollars.

Valerie has $2 and then earns $1 per week (where x is the number of weeks) in allowance, for a total of y dollars.

Step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.