Question

Lucie wants to buy a waterboard that costs $189.99. She has $45 saved. She wants to save $14 each week until she has enough money to pay for the waterboard. The inequality where wis the number of weeks represents this situation. What is the least number of weeks Lucie has to save until she has enough money to pay for the waterboard?

Answer 1

Lucie needs to save for at least 11 weeks to afford a waterboard costing $189.99 given she has $45 saved and saves $14 each week.

Step-by-step explanation:

The question involves Lucie wanting to buy a waterboard that costs $189.99. Currently, she has $45 saved and plans to save an additional $14 each week. To determine the least number of weeks she needs to save to afford the waterboard, we can set up an inequality. Starting with her current savings, each week she saves more money, which is added to her initial savings. The inequality comes from the fact that the total amount saved needs to be greater than or equal to the cost of the waterboard.

Here is the inequality representing the situation:

45 + 14w ≥ 189.99

Now we solve for w (the number of weeks) by subtracting 45 from both sides:

14w ≥ 144.99

Then, we divide both sides by 14 to isolate w:

w ≥ 10.356

Since Lucie can’t save for a fraction of a week, we round up to the nearest whole number. Lucie needs to save for at least 11 weeks to have enough money to buy the waterboard.