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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?

User Almighty
by
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1 Answer

4 votes

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

User Anass Naoushi
by
8.1k points
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