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?
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Answer:
$30
Step-by-step explanation:
The equation y - 10 = -2 ( x - 10 ) ...... (1) represents the amount of money Hugo owes for the bicycle.
By simplification of equation (1), we get, y+2x=30 ....... (2), where y is the remaining payable amount of money and x represents the number of weeks.
For example, he pays his brother $2 per week i.e. when x=1 week, then he pays $(2*1) = $2 and the remaining payable amount = 30- (2*1) = $28.
It is clear from the equation (2) that the total cost payable for the bicycle is constant, which is $30.
Therefore, the cost of the bicycle is $30. (Answer)
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