Question

Singer a is offering her service for an initial $45 In addition to $10 per hour. Singer b is offering his service for an initial $65 in addition to $5 per hour. When will the two singers charger the same amount of money?

Answer 1

4 hrs

Explanation:

Singer A's pay can be modelled using an expression which is linear in the number of hours she serves.

`P_(a)(h)=45+10h`

Singer B's pay can also be modelled using an expression which is linear in the number of hours she serves.

`P_(b)(h)=65+5h`

Both singers charge same amount when
`P_(b)(h)=P_(a)(h)`

`45+10h=65+5h\\5h=20\\h=4`

∴ Both singers charge same amount at 4 hrs of service