Solve your equation step-by-step.
|x|−8=−5
Add 8 to both sides.
|x|−8+8=−5+8
|x|=3
Solve Absolute Value.
|x|=3
We know either x=3 or x=−3
x=3(Possibility 1)
x=−3(Possibility 2)
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
My calculator shows that
(2.1)/(1.488) = 1.41129
which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40
Try 1.41 and it should work out, assuming your teacher wants two decimal places.
