Ellie is saving to buy a phone. She wants to have at least $299 saved before buying one. She currently has $213 saved, and she receives $10 a week as an allowance from her parents. After how many weeks will Ellie have enough money saved? Write an inequality that could be used to solve this problem. (1 point)
Responses
10w + 213 ≥
299, where w is the number of weeks.
10w + 213 is greater than or equal to 299, where w is the number of weeks.
213w + 10 ≤
299, where w is the number of weeks.
213w + 10 is less than or equal to 299, where w is the number of weeks.
213w + 10 ≥
299, where w is the number of weeks.
213w + 10 is greater than or equal to 299, where w is the number of weeks.
10w + 213 ≤
299, where w is the number of weeks.
10w + 213 is less than or equal to 299, where w is the number of weeks.
Question 2
Solve the inequality and make sure to show each step. After how many weeks will Ellie have enough money saved?
(You must show all work for full credit)
(3 points)
To solve the inequality, we need to subtract 213 from both sides:
10w + 213 - 213 ≥ 299 - 213
This simplifies to:
10w ≥ 86
Next, we divide both sides by 10 to solve for w:
10w/10 ≥ 86/10
This simplifies to:
w ≥ 8.6
Since we cannot have a fractional amount of weeks, we round up to the next whole number. So Ellie will have enough money saved after 9 weeks.