Paul has decided to take a trip to the United Kingdom. While he is there, he hopes to visit several different cities, which are shown in the table below. The table also includes how much money Paul expects to spend in each city, taking into consideration transportation, lodging, and so on. All costs listed are in pounds sterling (£). City Cost (£) Bristol 76 Leicester 66 Glasgow 91 Leeds 60 Belfast 72 Paul’s sightseeing budget is £300. What is the cheapest city that Paul can drop from his plans and still stay under budget? a. Leicester b. Leeds c. Bristol d. Belfast Please select the best answer from the choices provided A B C D

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32