olivia goes to egypt and saw a model of a pyramid. She enlarged it using a scale factor of 1.2. What will be the perimeter and a
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The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
- The function for Option 1 is;
- The function for Option 2 is;
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
- The amount in dollars after <em>n</em> years,
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
- The function for the Option 2 is;
Learn more about arithmetic and geometric progression here:
For this case we have the following ordered pairs:
(6, 9)
(4, 6)
The scale factor can be found in two different ways:
Therefore, the scale factor is given by:
Answer:
The scale factor of the dilation is 1.5
(6, 9)
(4, 6)
The scale factor can be found in two different ways:
Therefore, the scale factor is given by:
Answer:
The scale factor of the dilation is 1.5