Vanessa's dog eats 28 cups of dog food in two weeks. She is using a double number line to determine how many cups of food her dog eats in five weeks.
First, complete the double number line with the proper labels, and then complete the statement below.
We can first find out how many cups her dog eats in one week:
28 cups for 2 weeks = 28/2 = <<28/2=14>>14 cups per week
Then, we can multiply this number by 5 to find out how many cups her dog eats in five weeks:
14 cups per week * 5 weeks = <<14*5=70>>70 cups
So the completed double number line is:
| 0 ratios | 14 cups |
| 1 ratios | 28 cups |
| 2 ratios | 42 cups |
| 3 ratios | 56 cups |
| 4 ratios | 70 cups |
The statement: Vanessa's dog eats 70 cups of food in five weeks.
To complete the double number line, we need to label the starting and ending points based on the given information.
Let's start by labeling the known point on the double number line. We know that Vanessa's dog eats 28 cups of dog food in two weeks. So, we can label this point as "28 cups" on the left side, and "2 weeks" on the right side.
Now, we need to determine the ending point on the double number line. We are given that Vanessa wants to find out how many cups of food her dog eats in five weeks. To do this, we can use the information we already have and calculate the ratio of cups per week.
To find the cups per week ratio, we divide the total cups eaten (28) by the total number of weeks (2):
28 cups ÷ 2 weeks = 14 cups/week
Next, we can use this ratio to determine the number of cups eaten in five weeks. Multiplying the cups per week ratio (14 cups/week) by the number of weeks (5), we get:
14 cups/week × 5 weeks = 70 cups
On the double number line, we can label the new point as "70 cups" on the left side and "5 weeks" on the right side.
To complete the statement, we can say:
"On the double number line, the point labeled as '28 cups' on the left side corresponds to '2 weeks' on the right side. The point labeled as '70 cups' on the left side corresponds to '5 weeks' on the right side."
To complete the double number line, we need to determine the scale and label the relevant points.
Assuming a linear relationship, we can divide the total number of cups of dog food consumed in two weeks (28 cups) by the number of weeks (2 weeks):
28 cups ÷ 2 weeks = 14 cups per week
Now we can label the double number line with the points for 2 weeks and 5 weeks.
2 5
|______________|
14 ?
To determine the number of cups of food eaten in 5 weeks, we need to find the matching point on the double number line.
Starting at the labeled point for 2 weeks (14 cups), we need to determine how much the number increases for each additional week. Since the increase is 14 cups per week, we can use this information to determine the number of cups for 5 weeks.
14 cups per week × 3 additional weeks = 42 additional cups
Adding the additional cups to the starting point for 2 weeks, we can label the point for 5 weeks:
2 5
|______________|
14 56
Therefore, Vanessa's dog eats 56 cups of dog food in five weeks.