Which of the following equations matches the proportional relationship?
(a) a cell phone rate plan costs 6 cents per minute.
y= 0.06x
(b) a bag of 10 apples costs $6.
y= 60x
(c) a car is driving at an average speed of 60 miles per hour.
y= 0.60x
(d) a person burns 6 calories per minute using a rowing machine.
y= 60x

Option (A) will be the correct match.

Step-by-step explanation:

We are asked to find which of the given equations matches the proportional relationship.

The only option (A) matches,

It is given that a cell phone rates plan costs 6 cents per minute.

Now, 6 cents is equivalent to $0.06.

Therefore, for a call of duration x minutes the cost of the call y, in dollars, will be given by  

y = 0.06x

So, option (A) will be the correct match. (Answer)

the perimeter is increased by a factor of 2

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.