Lena worked for 5 hours if she prepared 10.75 kilograms of dough assuming 4.3 directly proportional 2.
<h3>What is proportional?</h3>
A comparison of two numbers mathematically is called a proportion. Two sets of given numbers are said to be directly proportional to one another if they increase or decrease in the same ratio, according to the law of proportion. The symbols "::" or "=" are used to indicate proportions.
We have given that 4.3 ∝ 2
where 4.3 kilograms is completed in 2 hours
If 4.3 ∝ 2, the constant k is
4.3 = k2
k = 4.3/2
k = 2.15
We have asked to find how many hours did Lena work if she prepared 10.75 kilograms of dough.
Let hours she took be x, Thus
10.75 ∝ x
We already have the contestant, so this gives us
10.75 = kx
10.75 = 2.15x
x = 10.75/2.15
x = 5 hours
Thus, Lena worked for 5 hours if she prepared 10.75 kilograms of dough assuming 4.3 ∝ 2.
Learn more about proportion
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