1/3 of an hour= 60mins/3
= 20 mins
1/2an hour= 60mins/2
= 30 mins
30+20 = 50 minutes total
4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.
<u>Solution:</u>
Let us assume that x is the required pounds sugar to make 5% syrup
which is 
On solving we get,
![\Rightarrow\frac{x}{5} =0.05 [5\%=\frac{5}{100}]](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7Bx%7D%7B5%7D%20%3D0.05%20%5B5%5C%25%3D%5Cfrac%7B5%7D%7B100%7D%5D)
If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,
So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.
Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the number of participants after n weeks is given by:
N(n) = 20 - 2n.
The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.
More can be learned about linear functions at brainly.com/question/24808124
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