Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
