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.

A) How much did the bicycle cost?
B) After how many weeks will Hugo finish paying for the bike?
A) $20; B) 10 weeks
C) $30; B) 5 weeks
D) $40; B) 20 weeks

Answer 1

The bicycle cost $30, and Hugo will finish paying for it in 10 weeks. To find these values, we set x to 0 to find the cost, and set y to 0 to find the duration in weeksNon o the options is correct

Step-by-step explanation:

The equation y - 10 = -2(x - 10) models the amount of money Hugo owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. To find out how much the bicycle originally cost, we set x to zero. Substituting x = 0 into the equation, we get y - 10 = -2(0 - 10), which simplifies to y = 10 + 20 = 30. So, the bicycle cost $30.

To determine after how many weeks Hugo will finish paying for the bike, we need to find the value of x when y equals zero. Setting y = 0 in the original equation, we have 0 - 10 = -2(x - 10). Solving for x, we have x = 10. Therefore, Hugo will finish paying for the bike in 10 weeks.

The correct answer is therefore option C) $30; option B) 10 weeks.