EE.4b

Student council members sell candy to raise funds for an upcoming trip. The goal is to raise more than $250. The members have already raised $65.50. If the members raise $0.75 for each candy sold, which inequality and graph represent the possible number of candies, x, the members need to sell to meet the goal?

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The inequality 1.25p + 10 <78 can be used to find the maximum amount of pictures, a teenager can store on a cell phone if the maximum amount of gigabytes the phone holds is less than 78 gigabytes. The table shows the steps the teenager takes to solve the inequality.

• The teenager solves the inequality correctly, and the teenager can store less than 85 pictures on the cell phone.

• The teenager solves the inequality correctly, and the teenager can store more than 85 pictures on the cell phone.

• The teenager solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

• The teenager solves the inequality incorrectly and makes a mistake between the Given and Step 1.

• 100x + 20 ≥ 1,400, where x ≥ 13.8

• 100x + 20 ≤ 1,400, where x ≤ 13.8

• 20x + 800 ≥ 1,400, where x ≥ 30

• 20x + 800 ≤ 1,400, where x ≤ 30

A sales associate has a goal to sell at least 100 products this month. The sales associate has already sold 30 products this month. If the sales associate sells 4 products each day, which inequality and graph represent the possible number of days, x, the sales associate must work to meet the goal?

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A vendor has $22.00 and wants to buy bushels of corn. The vendor finds a farmer who sells each bushel of corn for $3.00 and charges a fixed delivery fee of $5.50. Which inequality represents the number of bushels of corn, n, the vendor can buy from the farmer?

• 3.00n + 5.50 ≥ 22.00, where n ≥ 5.5

• 3.00n + 5.50 ≤ 22.00, where n ≤ 5.5

• 5.50n + 3.00 ≥ 22.00, where n ≥ 3.45

• 5.50n + 3.00 ≤ 22.00, where n ≤ 3.45

The inequality 10w + 40 < 450 represents the maximum number of ten-pound weights, w, a weight bench can hold if the maximum weight capacity of the bench is less than 450 pounds. The table shows the steps a trainer takes to solve the inequality.

• The trainer solves the inequality correctly, and the weight bench can hold a maximum of 49 ten-pound weights.

• The trainer solves the inequality correctly, and the weight bench can hold less than 49 ten-pound weights.

• The trainer solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

• The trainer solves the inequality incorrectly and makes a mistake between the Given and Step 1.

The inequality 7h + 45 ≥ 143 represents the minimum number of hours, h, it will take a chef to make at least 143 croissants. The table shows the steps the chef takes to solve the inequality. Which statement is true?

• The chef solves the inequality correctly, and it will take the chef at least 2.75 hours to make 143 croissants.

• The chef solves the inequality correctly, and it will take the chef at most 2.75 hours to make 143 croissants.

• The chef solves the inequality incorrectly and makes a mistake between Step 1 and Step 2.

• The chef solves the inequality incorrectly and makes a mistake between the Given and Step 1.

A teacher has $150 to spend on school supplies. The teacher buys a white board for a total of $20 and wants to spend the rest of the money on binders, which cost $2.50 each. Which inequality and graph represent the possible number of binders, n, the teacher can buy?

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A company makes a sales goal for its salespeople to sell at least 530 products this month. The 10 salespeople at the company have already sold 220 products this month. If each salesperson sells the same number of products, which inequality and graph represent the number of additional sales, s, each salesperson can complete this month to meet the company's goal?

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The inequality 4y + 2 < 100 represents that 2 more than 4 times a number, y, is less than 100. The table shows a student’s work to solve the inequality. Which statement is true?

• The student makes a mistake between Step 1 and Step 2 by dividing both sides of the inequality by 4 instead of multiplying each side by 4.

• The student makes a mistake between Step 1 and Step 2 by dividing both sides of the inequality by 4 instead of subtracting 4 from each side.

• The student makes a mistake between the Given and Step 1 by adding 2 to the right side of the inequality instead of subtracting 2 from each side.

• The student solves the inequality correctly because any value of y that is less than 25.5 satisfies the given inequality.