Suppose g(m) varies inversely with M and g(m)=3.5 when m=10. what is the value of M when g(m)=5?
2 answers:
Answer:
M = 7
Step-by-step explanation:
As g(m) varies inversely with M, that is represented by the expression:
Now we have to introduce a constant of proportionality (k), that is multiplying the function:
Then we can replace the given values to find the value of k:
When m=10, g(m)=3.5
k=3.5*10
k=35
Now, we can replace the given value of g(m)=5 to find M:
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Answer:
Please refer to the attached graph
Step-by-step explanation:
Knowing the following:
X = amount of money donated to the city youth fund
Y = amount of money donated to the educational growth foundation
We can write the statements in form of equations:
"Will donate up to $500, the money will be divided between two charities"
(a)
"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"
(b)
If we graph both equations we can see the area where both conditions are met (see graph attached)
Where the blue line is (a) and the red line is (b)
Shaded area represent all the possible solutions for the donations, for example:
X=100 and Y=400 or
X=50 and Y=200, etc.
