After w weeks, Dan will have a total of a = 100w + 10000 dollars in his account.
Michael, on the other hand, starts with $5,000 in his account. He saves an average of $150 per week. The equation below can be used to determine how much he has in his bank account, b, after saving for any number of weeks, w.
After w weeks, Michael will have a total of b = 150w + 5000 dollars in his account.
To determine how long it will take for each person to save enough money to buy a car, we need to know the cost of the car they want to buy. Let's assume they both want to buy a car that costs $20,000.
Dan needs to save an additional $10,000 (20,000 - 10,000) to buy the car. We can set up an equation to solve how many weeks it will take him to save that amount:
100w + 10000 = 20000
Subtracting 10000 from both sides gives:
100w = 10000
Dividing both sides by 100 gives:
w = 100
Therefore, it will take Dan 100 weeks to save enough money to buy the car.
Michael needs to save an additional $15,000 (20,000 - 5,000) to buy the car. We can set up an equation to solve how many weeks it will take him to save that amount:
150w + 5000 = 20000
Subtracting 5000 from both sides gives:
150w = 15000
Dividing both sides by 150 gives:
w = 100
Therefore, it will take Michael also 100 weeks to save enough money to buy the car.
In conclusion, Dan and Michael will both need to save for 100 weeks to buy a car that costs $20,000. Dan will start with $10,000 and save $100 per week, while Michael will start with $5,000 and save $150 per week.