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

Step-by-step 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