Ian rode in a taxi to get to an airport. The total cost of his taxi ride was more than $12. Write and solve an inequality to find the possible distances, in miles, Ian could have traveled in the taxi. Show or explain how you got your answer.

Missing Part:

The initial fee for a taxi ride is $2.60.  Each mile traveled in a taxi costs an additional $2.50.

Step-by-step explanation:

Given

per mile

Required

Miles traveled for more than $12

First, we represent the given parameters as an equation.

Represent miles with x and cost with y

So:

In Ian case, the distance traveled is more than $12.

This is represented as:

Substitute 12 for y

Make 2.50x the subject

Make x the subject

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

answer: approximately 206 bones

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