Whitney was visiting Big Bend Ranch State Park. At the entrance, she saw a
map of the park. The legend stated
that 1.5 inches on the map represents
20 feet in the park. On the map, how
many inches would represent 60
actual feet?

4.5 inches on the map would represent 60 actual feet.

Step-by-step explanation:

Given that:

1.5 inches on map represents 20 feet in the park.

x be the inches on map that represents 60 feet in the park.

Ratio of distance on map to actual distance :: Ratio of distance on map to actual distance

1.5 : 20 :: x : 60

Product of mean = Product of extreme

20*x = 1.5*60

20x = 90

Dividing both sides by 20

Hence,

4.5 inches on the map would represent 60 actual feet.

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