1) Option C is correct
2) Option B is correct
Step-by-step explanation:
Question no 1:
We need to find the constant of proportionality
The constant of proportionality can be found by using the formula y/x = k, where k is the constant of proportionality.
Finding k:
x = Hot pepper corn
y = chedder corn
So, y/x = 10/4 = 2.5
y/x = 20/8 = 2.5
y/x= 30/12= 2.5
So, Constant of proportionality is k = 2.5
Hence Option C is correct.
Question No 2
Every female rabbit has 5 baby rabbits. We need to find ratio of baby rabbits to female rabbits.
Baby rabbits = 5
female rabbits = 1
Ratio of baby rabbits to female rabbits: 5: 1 or 5/1 = 5
So, ratio of baby rabbits to female rabbits is 5
Option B is correct.
Keywords: ratio and direct proportion
Learn more about Ratio and direct proportion at:
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1/5m=1/65h
65/5m=h
13m=h
He/she was travelling at 13 miles per hour.
First you divide 8 by 125, with a new equation of:
x^3=0.064
You then take the cube root of 0.064, which happens to be 0.4
x=0.4
To make sure you can do 0.4*0.4*0.4.
B=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books