Lucy needs to hire a host. Host A is offering his services for an initial $60 in addition to $13.25 per hour. Hostess B is offering her services for an initial $75 in addition to $11.50 per hour. When will the two hosts charge the same amount?

8.57 hours

Step-by-step explanation:

The cost of each host can be expressed as follows:

Host A: 60+13.25x

Host B: 75+11.50x

x is the number of hours

To find when the two host will charge the same amount you have to equate the expressions and solve for x:

60+13.25x = 75+11.50x

13.25x-11.50x = 75-60

1.75x = 15

x=15/1.75

x=8.57

The two hosts charge the same amount after 8.57 hours

Host A: 60+13.25h

Host B: 75+11.5h

60+13.25h = 75+11.25h

subtract 11.25h from each side

60+2h = 75

subtract 60 from each side

2h = 15

divide by 2

h = 7.5

at 7.5 hours the two hosts will charge the same