Question

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?

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.

Answer 2

the first one is 30

the second one is 15