Question

Grace is saving up for a new car. She already has $3215 saved and plans on saving $325 each week working at her job at the mall. She needs at least $5600 saved to purchase the car. Write and solve an inequality to determine the minimum number of weeks she has to save to buy the car.

Answer 1

Grace needs to save for at least 8 weeks to have enough money to purchase a car. We calculate this by setting up an inequality based on her current savings and weekly savings amount, then solving for the number of weeks required.

Step-by-step explanation:

To determine the minimum number of weeks Grace has to save to buy the car, we set up the inequality:

3215 + 325w ≥ 5600

Where w represents the number of weeks Grace needs to save. To solve for w, we perform the following steps:

1. Subtract 3215 from both sides of the inequality: 325w ≥ 2385.
2. Divide both sides by 325 to solve for w: w ≥ 2385 / 325.
3. Calculate the quotient: w ≥ 7.34.
4. Since Grace can't save for a fraction of a week, we round up to the nearest whole number: w ≥ 8 weeks.

Therefore, Grace must save for at least 8 weeks to have enough money to purchase the car.