Marcel is performing the first test on his company's new electric car. during the test, the electric car reaches a maximum speed of 81 mph.

the performance test results of the electric car can be modeled by the following table, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.

x 0 2 4 6 8 10 12
y 0 45 72 81 72 45 0

which of the following statements is true about this situation?

a.
the electric car is not moving at 0 seconds and 6 seconds.
b.
the electric car is not moving at 6 seconds and 12 seconds.
c.
the electric car is not moving at 0 seconds and 12 seconds.
d.
the electric car is not moving at 4 seconds and 8 seconds.

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when is 0 mph as it is at rest at that time.

Also, when the time is , the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

g

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: