Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:

 per mile
 per mile
Plan 2:

 per mile
 per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:

Plan 2:

To solve (a), we equate both plans together; i.e.


Collect Like Terms


Solve for x


Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.




<em>Hence, the amount is $65</em>
 
        
             
        
        
        
Area of rectangle = Length*width
A = 28  so 28 = 4 * height
height  = 28/4 = 7
        
                    
             
        
        
        
Answer:
y=x^4
Step-by-step explanation:
the equation is multiplying by 4 for every x value
 
        
             
        
        
        
Set up a proportion:
3/4/24 = 1/x
Cross multiply:
3/4x = 24
Divide 3/4 to both sides or multiply by its reciprocal, 4/3:
x = 24 * 4/3
x = 96/3
x = 32
So you had a total of 32 muffins, now subtract this from the amount that blew away to find out how many you have left:
32 - 24 = 8
So you have 8 muffins left.
        
             
        
        
        
Answer:
New mean will be( 8 + 3 + 4 + 2 + 8) / 2
= 25/5 = 5 (old was 6)
New median will be 4 (old was 8)