Jasmine is on a cell phone plan where she pays $20 a month plus $0.10 per text message. She does not want to spend more than $40 on her cell phone bill. Write and solve the inequality that will tell her how many text messages she can send. Responses A 20 + 10x ≤ 40; She can send 2 text messages.20 + 10x ≤ 40; She can send 2 text messages. B 20 + 10x ≥ 40; She can send 2 text messages.20 + 10x ≥ 40; She can send 2 text messages. C 20 + 0.10x ≤ 40; She can send 20 text messages.20 + 0.10x ≤ 40; She can send 20 text messages. D 20 + 0.10x ≤ 40; She can send 200 text messages.
The correct answer is A: 20 + 10x ≤ 40; She can send 2 text messages.
This is because Jasmine's total cost cannot exceed $40, so the inequality should be set up as:
20 + 0.10x ≤ 40
Solving for x, we get:
0.10x ≤ 20
x ≤ 200
So Jasmine can send 0 to 200 text messages if she wants to stay within her $40 budget. Since she wants to send at least one text message, the closest whole number less than 200 is 2.
answer?
A: 20 + 10x ≤ 40; She can send 2 text messages.
The Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours. If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Formulate an inequality and solve. Responses A 100 + 20x ≤ 250; They can boat for 7 hours.100 + 20x ≤ 250; They can boat for 7 hours. B 100 + 20x ≥ 250; They can boat for 8 hours.100 + 20x ≥ 250; They can boat for 8 hours. C 100 + 20x ≤ 250; They can boat for 8 hours.100 + 20x ≤ 250; They can boat for 8 hours. D 100 + 20x ≥ 250; They can boat for 7 hours.
To determine the total cost of the boat rental based on the number of hours, we can set up an inequality:
Total cost ≤ $250
$100 (flat fee) + $20 (hourly rate) * x (number of hours) ≤ $250
This can be written as:
100 + 20x ≤ 250
To solve for x, we can subtract 100 from both sides and then divide by 20:
20x ≤ 150
x ≤ 7.5
Since the Mitchell family must pay for a whole hour even if they are not out on the lake for a whole hour, they can rent the boat for a maximum of 7 hours in order to spend $250 or less on the rental.
Therefore, the correct answer is A: 100 + 20x ≤ 250; They can boat for 7 hours.
Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000. How many cars does he need to sell? Write an equation and solve. Responses A 150 + 500x ≤ 2000. He needs to sell at least 4 cars.150 + 500x ≤ 2000. He needs to sell at least 4 cars. B 150 + 500x ≥ 2000. He needs to sell at least 4 cars.150 + 500x ≥ 2000. He needs to sell at least 4 cars. C 500 + 150x ≤ 2000. He needs to sell at least 10 cars.500 + 150x ≤ 2000. He needs to sell at least 10 cars. D 500 + 150x ≥ 2000. He needs to sell at least 10 cars.
To determine how many cars Bryan needs to sell to make at least $2000 this week, we can set up an inequality:
Total earnings ≥ $2000
$500 (weekly salary) + $150 (earnings per car sold) * x (number of cars sold) ≥ $2000
This can be written as:
500 + 150x ≥ 2000
To solve for x, we can subtract 500 from both sides and then divide by 150:
150x ≥ 1500
x ≥ 10
Therefore, Bryan needs to sell at least 10 cars to make at least $2000 this week.
The correct answer is D: 500 + 150x ≥ 2000. He needs to sell at least 10 cars.
Bobby’s uncle gave him 300 baseball cards. Each week, Bobby purchases 40 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Bobby will have more than 700 baseball cards in his collection? Responses A 300w + 40 > 700 300w + 40 > 700 B 300w + 40 < 700 300w + 40 < 700 C 40w + 300 > 700 40w + 300 > 700 D 40w + 300 < 700
To find the number of weeks after starting his collection when Bobby will have more than 700 baseball cards, we can use the following inequality:
Number of original baseball cards + (Number of baseball cards purchased each week * Number of weeks) > 700
300 + (40 * w) > 700
300 + 40w > 700
Therefore, the correct inequality is A: 300 + 40w > 700.