I am having trouble figuring the appropriate expression for this problem ... i have to determine what "t" = if the following ... 7 and 35 ... 6 and 40 ... and 9 and 45 .... The 6 and 40 are throwing me off .. only connection i can come up with is that the answers go down by 5 (45, 40 and 35 .. suggesting maybe the answer would be 30) BUT .. i think that must be wrong ... any suggestions would be helpful ... thank you!
To find the appropriate expression for this problem, let's first analyze the given pairs of numbers:
Pair 1: 7 and 35
Pair 2: 6 and 40
Pair 3: 9 and 45
Based on the information provided, it seems that there is a relationship between the first and second numbers in each pair. Let's examine each pair individually:
Pair 1: The second number (35) is obtained by multiplying the first number (7) by 5.
Pair 2: The second number (40) is obtained by multiplying the first number (6) by 10/3 (or 3.33 repeating).
Pair 3: The second number (45) is obtained by multiplying the first number (9) by 5.
Now, let's investigate if there is a consistent pattern between these calculations. We can divide each corresponding second number by its respective first number and see if we obtain a consistent value:
35 / 7 = 5
40 / 6 ≈ 6.67
45 / 9 = 5
Although the values are not exactly the same, they are relatively close.
Based on this analysis, we can hypothesize that the appropriate expression might involve multiplying the first number by a certain factor to obtain the second number. However, the factor is not as straightforward as a whole number.
In the second pair (6 and 40), the factor seems to be approximately 10/3 (or 3.33 repeating). This is unusual compared to the other pairs, so we can assume it might be an outlier or a deviation from the general pattern.
With this in mind, we can attempt to find the appropriate expression for this problem:
Let's denote the first number as "x" and the second number as "y." Based on our analysis, the expression could be:
y = 5x (assuming pairs 1 and 3 follow the pattern)
or
y = (10/3)x (assuming pair 2 is an outlier or follows a different pattern)
Now let's test these expressions with the given pairs:
For Pair 1 (7 and 35):
Using the first expression, y = 5x, we substitute x = 7:
y = 5(7) = 35
The expression seems to hold true for Pair 1.
For Pair 2 (6 and 40):
Using the first expression, y = 5x, we substitute x = 6:
y = 5(6) = 30
The expression does not match the given second number (40).
For Pair 3 (9 and 45):
Using the first expression, y = 5x, we substitute x = 9:
y = 5(9) = 45
The expression also holds true for Pair 3.
From this analysis, it seems that the first expression, y = 5x, is the appropriate expression for this problem, except for Pair 2. Since Pair 2 deviates from the general pattern, it may be an outlier or follow a different rule that is not explicitly provided.
Remember to consider the context and any additional information that might clarify the pattern or relationship between the pairs.