Answers and Step-by-step explanations:
(Answers are all bold-ed and underlined.)
For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.
Table 1:
For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.
Cars:
4
8
12
16
20
And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.
Trucks:
5
10
15
20
25
We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).
Table 2:
This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:
1.50 ÷ 2 = 0.75
So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.
Total ($):
0.75
1.50
2.25
3.00
6.00
For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.
Pounds:
1
2
3
4
8
Table 3:
This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.
Second column: 35 x 2 = 70, and so onto the rest of the columns.
Calories:
35
70
140
280
350
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I hope that this helps.