  ### Home > MC2 > Chapter 5 > Lesson 5.1.3 > Problem5-36

5-36.

Alden found a partially completed 5-D chart:

Define

Do

Decide
Target $74$

Trial 1:

$15$

$2(15) = 30$

$15 + 2 = 17$

$15 + 30 + 17 =$

$62$
too small

Trial 2:

$18$

$2(18) = 36$

$18 + 2 = 20$

$18 + 36 + 20 =$

$74$
just right

1. Create a word problem that could have been solved using this chart.

Examine the chart in the Define and Do sections to figure out what the expression from the 5-D chart is, and the relationship between each of the units.

If the first unit is the variable, $x$, and the three units are added together for the target value, $74$, think of any possible word problems that could illustrate this 5-D chart.

The farthest house is twice as far as the closest house. The middle house is two more miles farther than the closest house. If the total distance is $74$ miles, how far is the closest house?

2. What words would you put above the numbers in the three empty sections in the "Trial" and "Define" parts of the chart?

Based on the expression and the word problem you created, which sections are the shortest, medium, or longest distance?

3. What word(s) would you put above the "Do" column?

Based on the word problem you created, what would this total represent?

From the example answer, the ''Do'' column could be the total distance for all three houses.