Linda rented 8 movies and 4 video games for a total of $37. The next month she rented 3 movies and 2 video games for a total of $17.

Find the rental cost for each movie and video game.

rental cost for each movie $1.50
Rental cost for each video game $6.25

Explanation:

m = rental cost of each movie
g = rental cost of each game

Set up:

8m + 4g = 37
3m + 2g = 17

Modify for elimination:

3 (8m + 4g = 37) ———> 24m + 12g = 111
8 (3m + 2g = 17) ———> 24m + 16g = 136

Subtract:

24m + 16g = 136
- 24m - 12g = -111
——————————
4g = 25

Divide:

4g = 25

g = 25/4

g = 6.25

So each game is $6.25

Now plug in “g” to one of the original equations and solve for “m” to find the rental cost for each movie

3m + 2 (6.25) = 17 (multiply 2 & 6.25)

3m + 12.50 = 17 (subtract 12.50 from sides)

3m = 4.50 (divide both sides by 3)

m = 1.50

So each movie rental is $1.50

and y≤ -x +4 .

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

y≤ -x +4 .

Can u send a screenshot of it? !