Question

Question 14 (Essay Worth 12 points)

(Solving One-Step Equations with Rational Numbers HC)
Mrs. Robinson wrote an equation on the board. She asked the students to solve for the variable, k. Jeff solved it on his paper using the following steps.
Step 1
0.12
=24
k
0.12
Step 2 (0.12)-
Step 3 k= 5.76
=2.4(2.4
the error occurred, and describe the error using your mathematics vocabulary. (8 point
Part A: Review Jeff's work for solving the equation. State the step in wh
Part B: Solve the equation, correcting any errors you may find. Show all the steps in your work. (4 points)

Answer 1

Explanation:

Let's review Jeff's work step by step:

Step 1:

Jeff wrote: 0.12 = 24/k

This step is correct. He correctly set up the equation as 0.12 = 24/k.

Step 2:

Jeff wrote: (0.12)-

In this step, it appears that Jeff tried to subtract something from 0.12, but he didn't write down what he was subtracting. This step is incomplete and doesn't follow proper mathematical notation.

Step 3:

Jeff wrote: k = 5.76

=2.4(2.4

In this step, Jeff seems to have made a calculation error. He correctly found that k = 5.76, but the next part "=2.4(2.4" is not clear and does not make sense in the context of solving this equation.

Now, let's correct Jeff's work and solve the equation properly:

Step 1:

0.12 = 24/k

Step 2:

To isolate k, we can multiply both sides of the equation by k to get rid of the fraction:

0.12k = 24

Step 3:

Now, to solve for k, divide both sides by 0.12:

k = 24 / 0.12

k = 200

So, the correct solution to the equation is k = 200.