Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.

Step-by-step explanation:

Step 1: Define the problem

Given:

Lorrie biked miles in time hours.

Lorrie traveled at speed which is greater than (mile/hour).

Task:

Lorrie wants to determine the distance she may have traveled.

Key point:

The relation among the distance biked , time , and the speed is represented:

x

Step 2: Substitute given data into the main relation

with: and

=>     x

=>     > x

Simplify:

Step 3: Verify Lorrie's inequality

Lorrie uses the inequality to conclude that she traveled a distance at most miles, or .

Considering the correct answer is at step 2, in which, .

=> Lorrie's conclusion is incorrect.

Hope this helps!

:)

the square root of what number? if you add that, then someone will probably answer the question.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0