Question

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x 100. Explain what this statement means, in words, and what each part of the inequality represents

Answer 1

Explanation:

Sample Response: The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.

Answer 2

`3.4x\le 100`

Explanation:

Given that,

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long.

Michael says that an inequality that represents his project is 3.4x 100.

Let Michael cuts the ribbon in x no of variables. It is given as :

3.4x is the total length of all the pieces together

i.e.

3.4x is less than or equal to 100.

The required equation that represents the given scanario is :

`3.4x\le 100`