Leon needs to save more than $350 to buy a new bike. He has $130 saved so far, and he plans to save $20 each week until he has enough. The inequality below represents x, the number of weeks he must save to have the extra money needed.

130 + 20 x greater-than 350

Which best describes the number of weeks he must save before he can buy his bike?



Answer :

Answer:

x > 11

Step-by-step explanation:

Given:

  • [tex]130 + 20 x > 350[/tex]

Where:

  • $130 represents the amount mode so far.
  • $20(x) represents the amount of money made multiplied by x
  • > $350 represents that the required money saved should be above $350

To find the number of weeks he must save before he can buy his bike, we need to find the value of x

[tex]130 + 20 x > 350[/tex]

Subtracting 130 from both sides

[tex]20 x > 350 - 130[/tex]

Simplify

[tex]20 x > 220[/tex]

Divide both sides by the coefficient of x

[tex]\frac{20x}{20} > \frac{220}{20}[/tex]

[tex]x > \frac{22}{2}[/tex]

[tex]x > 11[/tex]

Therefore, the number of weeks required to save before he can buy his bike is greater than 11