would like to pannaurchase a new bike that costs $205. she already has $34 saved. if she saves a. maximum of $12 a week, the following inequality can be used to find the minimum number of weeks, w, it will take anna to save the money to purchase the bike. 12w+34>205

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

To find the minimum number of weeks it will take Anna to save enough money to purchase the bike, we can solve the inequality:

12w + 34 > 205

Subtract 34 from both sides of the inequality:

12w > 205 - 34

12w > 171

Then, divide both sides by 12 to solve for w:

w > 171/12

w > 14.25

Since the number of weeks must be a whole number, the minimum number of weeks Anna will need to save enough money to purchase the bike is 15 weeks.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the minimum number of weeks it will take Anna to save enough money to purchase the bike, we can solve the inequality:

12w + 34 > 205

First, let's isolate the variable 'w' by subtracting 34 from both sides of the inequality:

12w > 205 - 34
12w > 171

Next, divide both sides of the inequality by 12 to solve for 'w':

w > 171/12
w > 14.25

Since 'w' represents the number of weeks and we cannot have a fraction of a week, we need to round up the value of 'w' to the nearest whole number:

w > 15

Therefore, it will take Anna a minimum of 15 weeks to save enough money to purchase the bike.