Write a system of equations given the below information
then determine when their
companies will charge the same
amount. Bethany's company
charges a signup fee of $50 and
then $5 a month. Kami's
company doesn't charge a fee
but charges $10 a month.
Total Charge
28882383882
30
20
10
0

9514 1404 393

Step-by-step explanation:

The equation for the charge (y) by Bethany's company for x months is ...

  y = 5x +50

The equation for the charge (y) by Kami's company for x months is ...

  y = 10x

The charges are equal when ...

  y = y

  5x +50 = 10x . . . . use the expressions for y

  50 = 5x . . . . . . . . subtract 5x

  10 = x . . . . . . . . . . divide by 5

The companies will charge the same for 10 months.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.