Diggy's Doggy Day Care uses volunteers to play with the dogs. For every 10 minutes the volunteers and dogs play outside, they play for 20 minutes inside.

Question

Complete the table.
Minutes outside 10 20 30 40
Minutes inside 20
Graph the data from the table.

Answer 1

To complete the table, we need to recognize the relationship between the minutes spent outside and the minutes spent inside. According to the information given, for every 10 minutes outside, there are 20 minutes inside. This implies that the relationship is such that for every increase of 10 minutes outside, the time inside increases by 20 minutes.

Let's fill in the missing values in the table by using this relationship:

1. Minutes Outside: 10 — Minutes Inside: 20
2. Minutes Outside: 20 — (10x2) — Minutes Inside: 20x2 = 40
3. Minutes Outside: 30 — (10x3) — Minutes Inside: 20x3 = 60
4. Minutes Outside: 40 — (10x4) — Minutes Inside: 20x4 = 80

Now, let's complete the table:

| Minutes outside | Minutes inside | |-----------------|----------------| | 10 | 20 | | 20 | 40 | | 30 | 60 | | 40 | 80 |

Graphing the Data

To create a graph from this data, you would plot the points corresponding to the values in the table. Here are the points you would plot:

• (10, 20)
• (20, 40)
• (30, 60)
• (40, 80)

Instructions for Graphing:

1. X-axis: Minutes outside
2. Y-axis: Minutes inside
3. Plot the points on the coordinate system.
4. You can then connect the points with a straight line, as the relationship between minutes outside and minutes inside is linear.

The line will start at the origin (0,0) if extended and will have a slope that indicates an increase in minutes inside as minutes outside increase. The graph will show a straight line going upwards, reflecting the 2:1 ratio of the minutes inside to minutes outside.