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I believe the phi ratio^2 = 1 + phi ratio
phi ratio = 1.6180339
phi ratio^2 = 2.6180339
(5,24)
- The two areas are the same.
- To find the area, we multiply the side lengths. Y=area
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
- Since the two areas are same, we can conclude that
4x+4=6x-6
-2x=-10, x=5
- Since x is 5, we can plug it into the equations to find y.
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
Problem: 2/7 (4+c)=6
1. 7/2 x 2/7 x (4+c)=7/2 x 6
2. 4+c=7 x 3
3. 4+c=21
4. c=21-4
Answer: c=17