Laurie and her sister want to buy a gift for their mother. laurie has $15.25 to spend and her sister has $14.25. the sisters buy a box of chocolates for $17.15 and wish to spend the rest on flowers. how much can they spend on flowers? write and solve an inequality that represents this problem. write using full sentences and show your work.

Step-by-step explanation:

Let X be the amount of money that Laurie has to spend.

Let Y be the amount of money that Laurie's sister has to spend.

Let C be the cost of a box of chocolates.

The following represents how much money Laurie and her sister have after buying the box of chocolates:

X + Y - C

This result is the amount of money that Laurie and her sister have left to buy on flowers.

Let F be the amount of money that Laurie and her sister spend on flowers.

We know that the above result must be greater than or equal to the amount that Laurie and her sister spend on flowers; otherwise they will be spending more than they have.

The following equation then represents how much Laurie and her sister have left to spend on flowers:

X + Y - C F

Plugging in the values for the above letters will give you your answer.

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.