5. Molly subscribed to a new streaming service. The monthly cost includes a $9 base fee plus $0.50 for each show she watches. (1.5 notes)
a. Write an equation that models c, the total monthly cost, based on w, the number of shows Molly
watches.
b. If Molly watches 5 shows in a single month, how much will she need to pay?

a.  

b.   She'll pay $11.5

Step-by-step explanation:

Given

Base Fee = $9

Additional Fee = $0.50 per show

Solving (a): Find the relationship between c and w

c = Monthly cost

w = Number of shows

c = Base Fee + Additional Fee * Number of Shows

Solving (b): Find c if w = 5

Substitute 5 for w

Hence, She'll pay $11.5

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

no solution

step-by-step explanation:

there is not enough information in the problem to solve.