Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y - 10 = - 2 (x - 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? $ After how many weeks will Hugo finish paying for the bike?

Question

Mathematics

Malachi

27 January, 17:31

Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y - 10 = - 2 (x - 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? $ After how many weeks will Hugo finish paying for the bike?

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Conductor · Answer 1

The bicycle costs $30 and Hugo finishes paying after 15 weeks. When he has paid for the bike, y=0 because he owes nothing. So - 10=-2x+20, 2x=30, x=15. And the cost of the bike is 2*15=$30.