Question

5) Mateo made the model below to represent the number of miles he swims in thepool each week for exercise.Key= 1 mile• Use the drop-down menus to explain his model. Click the arrows to choose an answerfrom each menu.The number of times Mateo swims each week is represented by theChoose...in the model.The distance, in miles, that Mateo swims each time he goes to the pool is representedby the Choose...The total distance Mateo swims each week can be determined using the expressionChoose... which is equivalent to choose... - miles.

Answer 1

Step 1

The shaded sections represent the number of times he swam in the week

Hence the answer to part one is

1) 8 shaded sections of the 4 rectangle

Step 2

Hence it is 2 shaded sections out of 3 in each rectangle

Step 3

The total number of sections = 12

The total number of sections he swims in = 8

The total rectangles = 4

Hence an expression that can be used to solve this will be

`\frac{total\text{ number of sections he swam}}{\text{Total sections}}*4`

Hence the answer will be

`\begin{gathered} (8)/(12)*4 \\ (2)/(3)*4 \end{gathered}`

Step 4

The key states that 3 shaded sections = 1 mile

Hence 8 shaded sections in miles will be equivalent to (8/3)

orA

This then is equivalent to

`(2)/(3)*4=(8)/(3)`