To estimate the weight loss, we need to consider a few factors. The primary factors are your caloric intake, energy expenditure through exercise, and your basal metabolic rate (BMR). BMR represents the number of calories your body needs to maintain basic bodily functions at rest. 

To calculate your BMR, we can use the Mifflin-St Jeor equation:

BMR = 10 * weight (kg) + 6.25 * height (cm) – 5 * age (years) – 161 (for females)

Using your provided information:

Weight: 58 kg

Height: 5 ft = 152.4 cm (1 ft = 30.48 cm)

Age: 18 years

BMR = 10 * 58 + 6.25 * 152.4 – 5 * 18 – 161 = 1356.5 calories/day

Next, we need to consider your daily caloric intake. You mentioned consuming 1500 calories per day.

To calculate the weekly caloric deficit, we subtract your caloric intake from your total energy expenditure. Assuming your exercise burns an additional 250 calories per day (45 minutes of exercise at home), your total energy expenditure would be:

Total energy expenditure = BMR + exercise calories

                     = 1356.5 + 250

                     = 1606.5 calories/day

Weekly caloric deficit = (Total energy expenditure – Caloric intake) * 7 days

                      = (1606.5 – 1500) * 7

                      = 1165.5 calories/week

To estimate weight loss, we need to consider that 1 pound (0.45 kg) of body weight is roughly equivalent to 3500 calories. Therefore, to estimate your potential weight loss in a week, we can divide the weekly caloric deficit by 3500:

Weight loss in a week = Weekly caloric deficit / 3500

                     = 1165.5 / 3500

                     ≈ 0.33 kg (or 330 grams)

Please note that this is an estimated calculation, and individual results may vary. Factors such as metabolism, body composition, and other lifestyle factors can influence weight loss. It’s always advisable to consult with a healthcare professional or a registered dietitian for personalized guidance and recommendations on weight loss and nutrition.