Write and solve an inequality.
Chris earns $7.00 per hour working on the weekends. He needs at least $210.00 for a new cell phone. How many hours does Chris need to work on the weekends to buy a new phone?
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7x ≥ 210
x ≥ 30
Chris needs to work at least 30 hours on the weekends to buy a new phone.
To solve this problem, we need to set up an inequality using the given information.
Let's assume that the number of hours Chris needs to work is "h."
According to the problem, Chris earns $7.00 per hour, so the amount of money he earns after working for "h" hours can be expressed as 7h.
Since Chris needs at least $210.00 to buy a new phone, we can set up the following inequality:
7h ≥ 210
Now, we can solve this inequality to find the number of hours Chris needs to work.
To isolate "h" on one side of the inequality, we need to divide both sides of the inequality by 7:
7h/7 ≥ 210/7
Simplifying, we get:
h ≥ 30
This means that Chris needs to work at least 30 hours on the weekends to earn enough money to buy a new cell phone.
To solve this problem, we can use an inequality to find the minimum number of hours Chris needs to work to earn at least $210.00.
Let's say Chris needs to work x hours to earn $210.00.
According to the problem, Chris earns $7.00 per hour. So we can express his earnings as:
7x
Now, we can set up the inequality:
7x ≥ 210
To solve for x, we divide both sides of the inequality by 7:
x ≥ 210 / 7
Simplifying further,
x ≥ 30
Therefore, Chris needs to work at least 30 hours on the weekends to earn enough to buy a new cell phone.