Answer:
2/6 or 1/3
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
$25
Step-by-step explanation:
500 mins = $35 (fixed + per minute charge)
1500 mins = $55 (fixed + per minute charge)
If we let per minute charge be "m"
and
let fixed charge be "f"
we can write 2 equations as:
35 = 500m + f
and
55 = 1500m + f
Now,
We re-write both equations in terms of f and equate both expressions:
f = 35 - 500m
and
f = 55 - 1500m
Equating:
35 - 500m = 55 - 1500m
-500m + 1500m = 55 - 35
1000m = 20
m = 20/1000
m = 0.02
Now we find f, what we are looking for:
f = 35 - 500m
f = 35 - 500(0.02)
f = 25
So, the fixed charge is $25
 
        
             
        
        
        
The value of his investment at the third year is
F (3)=300×(1.02)^(3)=318.36
The value of his investment at the fifth year is
F (5)=300×(1.02)^(5)=331.22
The average rate of change of the value is
(331.22−318.36)÷2 years=6.43 per year
        
             
        
        
        
a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300 
<h2>
Explanation:</h2>
<h3>PART A.</h3>
From mathematics, we know that  varies directly as
 varies directly as  or
 or  is directly proportional to
 is directly proportional to  if and only if:
 if and only if:
 for some nonzero constant
 for some nonzero constant  .
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.

So,<em> the constant of proportionality is k = 2</em>
<h3>
PART B.</h3>
In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:

Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>
Cost of pizzas: brainly.com/question/12878495
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