To reason about the value of x in 1/4(12x - 8) =10, Joy and Paulo each rewrite the equation. Joy rewrites the equation as 3x - 2 = 10. Paulo rewrites the equation as 12x - 8 = 40. What are their strategies? Explain your reasoning.

For Joy:

Strategy: Multiply through by 4

For Paulo:

Strategy: Evaluate the bracket

Explanation:

Given

Required:

Determine the strategies

For Joy:

Strategy: Multiply through by 4

Done

For Paulo:

Strategy: Evaluate the bracket

Done

The five-number summary of the data presented on the stem-and-leaf plot are:

The minimum data value is: 40The first quartile is: 43The median data value is: 61The third quartile is: 65The maximum data value is: 97

The data is presented in a stem and leaf plot.

To determine the five-number summary, first, we need to list out all the data point for the weight of each dog.

For the first row: 4 | 0 1 3

The weights are: 40, 41, 43

For the second row: 5 | 0 8

The weights are: 50, 58

For the third row: 6 | 1 2 3 5

The weights are: 61, 62, 63, 65

For the fourth row: 7 | 8

The weight is: 78

For the last row: 9 | 7

The weight is: 97

Thus, all the data for the weights are:

40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97

We can now determine the five-number summary as follows:

The minimum data value is: 40

(40,) 41, 43, 50, 58, 61, 62, 63, 65, 78, 97

The first quartile is: 43

40, 41, (43,) 50, 58, 61, 62, 63, 65, 78, 97

The median data value is: 61

40, 41, 43, 50, 58, (61,) 62, 63, 65, 78, 97

The third quartile is: 65

40, 41, 43, 50, 58, 61, 62, 63, (65,) 78, 97

The maximum data value is: 97

40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)

Learn more here:

link