Question

Convince Mrs. Roth that she’s made a mistake with the equation she has written to represent the pattern in the table.Were is the mistake? Explain how and were

Answer 1

Mrs. Roth make a mistake with the signs of the numbers because the correct expression is K = -9M + 59

Step-by-step explanation:

The equation will have the form:

K = aM + b

Where a is the difference that she calculated and b is the value of K when M is 0.

Taking into account the table a = -9 and b = 59. Then the equation will be

K = -9M + 59

So, Mrs. Roth make a mistake with the signs of the numbers because the correct expression is

K = -9M + 59

We can also proof that her equation is wrong replacing the value of M = 0 and comparing the value of K by the value in the table

K = 9M - 59

K = 9(0) - 59

K = 0 - 59

K = -59

Since -59 and 59 are distinct, Mrs. Roth's equation has a mistake.