Question

25 POINTS

A piecewise function f(x) is defined as shown.

f(x) = -5/4x = 90

Which table could be used to graph a piece of the function?

Answer 1

substitute the values of x from each table and see which values fit

For example in table d when x = 40 y = (-3/8)*40 + 75 = 60 which is the result given in table d

The other 2 values also fit table d

Answer is table d.

Answer 2

The answer is D

Explanation:

We are going to try all the answers on the choices to find the right choice.

Choice A:

We will start with 0:

`-(5*0)/4+90=90`

That is correct lets try 16:

`-(5*16)/4+90=70`

It can be seen that choice A is incorrect.

Choice B:

We tried 0 in above and it gave 90. So, we will start with 40:

`-(3*40)/8+75=60`

It can be seen that choice B is incorrect.

Choice C:

We tried 40 in above and the function gave 60.

It can be seen that choice C is also incorrect.

Choice D:

We tried 40 in above and the function gave 60. Therefore, we will start with 160:

`-(3*160)/8+75=15`

Lets try the last number 200:

`-(3*200)/8+75=0`

It can be seen that choice D is correct.