Question

Read the information in the box below.

Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 312times more than the rainfall during September of the same year. How much rain fell during the month of September?

Rebecca tried to solve the problem but made a mistake in her calculations. You must analyze Rebecca's work, identify the error, and then correctly solve the problem. Then, create a model to justify your thinking.
Rebecca's Math Calculations
Step 1: 14×312
Step 2: 141×72
Step 3: 982=49
Solution: In September, 49 inches of rain fell.







Be sure to –
Identify the error that the student made
Answer the question prompt
Create a pictorial model that represents the problem situation and justifies your identification of the error and its solution
Explain how the model justifies the identified error and how to correct it

Answer 1

46

Explanation:

Answer 2

4 inches

Explanation:

Given that :

Amount of Rainfall in October = 14 inches

Amount of Rainfall in October = 3 1/2 times more than Rainfall during September

How much rain fell.during September :

The problem is a division problem ;

Since the amount of Rainfall in October is greater, then obtaining the amount of Rainfall in September requires dividing The amount of Rainfall in October by the number of times it is more than the September rainfall;

If multiplication is applied, then tbe value obtained will be greater than 14 inches. Which makes no sense since, the Rainfall in October is much greater than that in September.

14 inches ÷ 3 1/2

14 ÷ 7/2

14 * 2 / 7

= 28 / 7

= 4 inches

Hence, the amount of Rainfall in September is 4 inches