Determine the slope of the table.
2 answers:
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Question:
Abel planned for a garden to be 42 m long but found that it needs to be 24 m long to fit in his backyard. He found the change of scale below.
Which is Abel’s error?
Abel should have written the ratio as
Abel should have written the ratio as
Abel should have divided both numbers by 6.
Abel should have divided both numbers by 4.
Answer:
Abel should have divided both numbers by 6.
Step-by-step explanation:
Given
Measured Length of backyard = 42m
Actual Length of backyard = 24m
Measured Ratio:
Required
Error in calculation of measured ratio
From Abel's calculation:
It can be observed that He divided both numbers by 7
Though 42/7 = 6 but that's not so for 24/7
24/7≠4;
Instead 24/7 = 3.43 (Approximated)
To get the actual ration, he has to divide both numbers by the highest common factor
The common factors of 42 and 24 include 2,3,6 of which the highest is 6
Hence; HCF of 42 and 24 = 6
So, we can conclude that the error in his calculation is having not dividing both numbers by 6
Answer:
Diverge
Step-by-step explanation:
(a)
1st year:
2nd year:
3rd year:
4th year:
5th year:
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:
This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule
This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.