Grace was given the description “three less than the quotient of a number squared and nine, increased by eight” and was asked to evaluate it when n = 6. Her work is shown below.

Step 1: mc021-1.jpg
Step 2: mc021-2.jpg
Step 3: mc021-3.jpg
Step 4: mc021-4.jpg
Step 5: 7

In which step did she make an error?
step 1
step 2
step 4
step 5

Respuesta :

Given that the steps are not shown, I am going to show you all the rigtht steps in detail and so you will be able to compare and tell which step from you list contains an error:

1) Traslation into algebraic language:

“three less than the quotient of a number squared and nine, increased by eight”

3 - (n^2) / 9

2) Evaluate it when n = 6 (replace the value of n)

3 - (3^2) / 9

3) solve the parenthesis

3 - 9/9

4) divide 9/9

3 - 1

5) Subtract

2

Now you know all the steps and can tell which of the steps on the list is wrong.

The required value if the unknown number is 6 is 9

Statement of equations

Let the unknown value be "x"

The quotient of a number squared and nine is expressed as x²/9

Three less than the quotient of a number squared and nine is expressed as x²/9 - 3

If this expression is increased by eight, hence the resulting expression will be:

g(x) = x²/9 - 3 + 8

If x = 6, then;

g(6) = 6²/9 - 3 + 8

g(6) = 4 - 3 + 8

g(6) = 9

Hence the required value if the unknown number is 6 is 9

Learn more on functions here: https://brainly.com/question/1043923