Step-by-step explanation:
A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.
It means,
2/3 cup = 1/8 cup of water
![1\ \text{cup}=\dfrac{\dfrac{1}{8}}{\dfrac{2}{3}}\\\\=0.1875](https://tex.z-dn.net/?f=1%5C%20%5Ctext%7Bcup%7D%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B8%7D%7D%7B%5Cdfrac%7B2%7D%7B3%7D%7D%5C%5C%5C%5C%3D0.1875)
Hence, the constant of proportionality is 0.1875.
we know that
<u>Unit Rate</u> is the ratio of two measurements in which the second term is one
so
to find the unit rate divide
by ![(1/4)](https://tex.z-dn.net/?f=%281%2F4%29)
![Unit\ rate=\frac{(5/8)}{(1/4)}= \frac{5}{8}*4= \frac{2.5}{1} =2.5 \frac{ft^{2}}{hour}](https://tex.z-dn.net/?f=Unit%5C%20rate%3D%5Cfrac%7B%285%2F8%29%7D%7B%281%2F4%29%7D%3D%20%5Cfrac%7B5%7D%7B8%7D%2A4%3D%20%5Cfrac%7B2.5%7D%7B1%7D%20%3D2.5%20%5Cfrac%7Bft%5E%7B2%7D%7D%7Bhour%7D)
therefore
<u>the answer is</u>
The unit rate is ![2.5 \frac{ft^{2}}{hour}](https://tex.z-dn.net/?f=2.5%20%5Cfrac%7Bft%5E%7B2%7D%7D%7Bhour%7D)
Answer:
1) M(x) = 5 + 3x
2) Dependent variable; 3 dollar bills
Independent variable: chores
3) Range is continuous
Domain is discrete
4) Range: 0 ≤ x ≤ 10
Domain: 5 ≤ M ≤ 35
Step-by-step explanation:
We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.
Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;
M(x) = 5 + 3x
After 10 weeks, total number is;
M(10) = 5 + 3(10)
M(10) = 35
The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.
After 10 weeks, the range and domain will be;
Range: 0 ≤ x ≤ 10
For the; Domain:
For x = 1, M(0) = 5 + 3(0) = 5
M(10) = 35
Thus;
Domain: 5 ≤ M ≤ 35
The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.
Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.
Answer:
I think that is correct, sorry is i get it wrong