The correct answer is Choice A.
You can see from the graph that the y-intercept is 50 because it cross on the left at 50.
To find the slope, we can use the following two points (0, 50) and (20, 110). This will give a slope of 3.
Put the 50 and 3 together and you will have the equation:
y = 3x + 50
Use the midsegment theorem
54, 36, 24 are the 1st 3 element of a geometric progression with 2/3 as a common ratio: PROOF:
the 1st term is 54, (a₁= 54) the 2nd term a₂ = 24, then
(a₂ = a₁.r) or 36 = 54.r → r= 36/54 = 2/3. Same logique for the 3rd term.
So 2/3 is common ratio. We know that :U(n) = a.(r)ⁿ⁻¹. Then if a =54 and r = x (given by the problem), then f(x) = 54.xⁿ⁻¹
n, being the rank of any element of this geometric progression
Answer:
Divide total length by length of each piece to get the number of pieces.
= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45
ANSWER: Total number of pieces that can be cut is 45.
