Mike took a taxi from his home to the airport. the taxi driver charged an initial fee of $6plus$3 per mile. the total fare was $24, not including tip. how many miles did mike travel by taxi on this ride.

6 miles

Step-by-step explanation:

AS Mike took the taxi from his home to airport and covered a distance

Initial fee of the ride was $ 6 which is fixed

Now with each mile he has to pay $3

Total he paid = $ 24

Now we have to find the total no of miles traveled  by Mike

The tip given is 0

Now from the given we can make an equation

Initial fee + 3 * miles traveled =  total Paid

Let total no of miles traveled are x

Putting all the values in the given equation

6 + 3 * x = 24

6 + 3x = 24

3x = 24-6

3x = 18

Dividing both sides by 3

x = 18 /3

x =6 miles

So the total miles traveled by him is 6 miles

the answer is c hope it

step-by-step explanation:

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