Can someone write the equation that goes with this table? (thanks!!)
1 answer:
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Answer:
4:1 (I think)
Step-by-step explanation:
Let's write some equations first:
For both prices increasing by 20:
then we can use cross multiplication
2x+40=5y+100
For both prices decreasing by 5:
same here:
5y-25=x-5
Using substitution for 5y, we get: 5y=x+20
2x+40=5y+100
2x+40=x+20+100
x=80
plugging this in to the second equation:
5y-25=x-5
5y-25=80-5
5y-25=75
5y=100
y=20
therefore we get x:y=80:20
4:1
If similarity ratio means the ratio between the lengths of the cubes:
![\frac{ L_1^{3} }{ L_2^{3} } = \frac{V_1}{V_2} \\ \\ ratio = \frac{L_1}{L_2} = \frac{\sqrt[3]{V_1} }{\sqrt[3]{V_2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%20L_1%5E%7B3%7D%20%7D%7B%20L_2%5E%7B3%7D%20%7D%20%3D%20%20%5Cfrac%7BV_1%7D%7BV_2%7D%20%20%5C%5C%20%20%5C%5C%20ratio%20%3D%20%20%5Cfrac%7BL_1%7D%7BL_2%7D%20%3D%20%20%20%5Cfrac%7B%5Csqrt%5B3%5D%7BV_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BV_2%7D%20%7D%20)