Question

1,072 ÷ 16 = 67
Write a situation for this number model and draw a picture that goes with it.

Answer 1

In the given division problem, a teacher distributes 1,072 stickers among 16 students, giving each student 67 stickers. For the proportion problem, the scale model ratio of 1/48 is equivalent to the real-life measurement of 1/3 for a model measurement of 16 units.

Step-by-step explanation:

The division problem 1,072 ÷ 16 = 67 could represent a situation where a teacher has 1,072 stickers and wants to evenly distribute them among 16 students. Each student would receive 67 stickers. To illustrate this, we could draw a picture of 16 happy students each with a stack of 67 stickers.

For the proportion problem, we can set the two ratios equal to each other. If the scale is 1/48 (one unit on the model represents 48 units in real life), and we want to find the corresponding real-life measurement (w) for a model measurement of 16 units, we would set it up as:

1/48 = w/16

This is a direct proportion where we can solve for w by cross-multiplying and dividing:

48 × w = 16 × 1

48 × w = 16

w = 16/48

w = 1/3

So the real-life measurement corresponding to 16 units on the model is one-third of a unit.

Answer 2

There are 1072 jelly beans, 16 students want to evenly split the jelly beans. Each student got 67 jellybeans