Ken has $950 in a savings account at the beginning of the summer. He wants to have at least $600 in the account by the end of the summer. He withdraws $35 a week for food, clothes and movie tickets. Write an inequality for the number of weeks Ken can withdraw money, and describe the solution.
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950 - 35w ≥ 600; w ≤ 10
950 - 35w ≥ 600; w ≤ 11
950 + 35w ≥ 600; w ≥ 10
950 + 35w ≥ 600; w ≥ 11
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A bike rental company charges $50 for the first hour, and $25 for each additional hour. Michael must spend no more than $200 on his bike rental for the day. What is the maximum number of hours that Michael can rent a bike?
Let x = number of hours (after that initial hour) and y = total cost
so if "A bike rental company charges $50 for the first hour, and $25 for each additional hour.", then
y = 25x + 50
We're told that "Michael must spend no more than $200", so y <= 200
y <= 200
25x + 50 <= 200
25x <= 200-50
25x <= 150
x <= 150/25
x <= 6
So the max number of hours after that first hour is 6
Add on the first hour to get 6+1 = 7
So the max number of hours total he can rent the bike is 7 hours.