Afamily's cell phone contract charges a monthly fixed fee of $56 for five lines and then $0.08 per minute. the latest cell phone bill was $164. how many minutes did the family use? write an equation to represent this situation. then solve the equation. a. 56 + 0.08x = 164; x = 1,350 b. 56 + 0.04x = 164; x = 2,700 c. 56 + 0.07x = 164; x = 1,543 d. 0.08 + 56x = 164; x = 3

Answer

A. 56 + 0.08x = 164; x = 1,350

Explanation

Let the number of minutes the family used be x.

The cost on the x minutes = $0.08 × x

                                            $0.08x

The fixed cost =  $56

Total cost for the phone bill =  $164

∴ 0.08x + 56 = 164

  56 + 0.08x = 164    The equation

Solving it.

56 + 0.08x = 164

put the like terms together,

0.08x = 164 - 56

            = 108

0.08x = 108     Divide both sides by 0.08

x = 108/0.08

   = 1,350 minutes

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

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )