Mia and her children went into a bakery where they sell cupcakes for $2.75 each and brownies for $1.25 each. Mia has $30 to spend and must buy at least 14 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically.

and

Step-by-step explanation:

Given

From the first statement:

From the second statement:

Required

Solve graphically

I've written the equations (above) and they are:

See attachment for graph.

The blue line represents

The shaded part of the graph represents

From the graph, the solution is:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation: