Question

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

Answer 1

9514 1404 393

Answer:

• y = 5x +50
• y = 10x
• 10 months

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.