Job Payment and Inequalities Analysis

The video tutorial covers solving equations and inequalities, translating expressions into inequalities, verifying solutions, calculating prices using percentages, and comparing payment options based on sales. It provides step-by-step explanations and examples to help understand these mathematical concepts.

If a bus can seat up to 65 passengers, which inequality represents the number of passengers, x, that can be seated?

• x > 65

• x < 65

• x ≤ 65

• x ≥ 65

What inequality represents the sum of two consecutive integers being less than 54?

• x + (x + 1) ≥ 54

• x + (x + 1) < 54

• x + (x + 1) > 54

• x + (x + 1) = 54

If you invest an amount of money at 5% annual interest and want the interest to be at least $250, which inequality represents this situation?

• 0.05x < 250

• 0.05x > 250

• 0.05x ≥ 250

• 0.05x ≤ 250

If a hamburger costs $0.49 and you have at most $3.00 to spend, what inequality represents the number of hamburgers, h, you can buy?

• 0.49h ≤ 3.00

• 0.49h < 3.00

• 0.49h > 3.00

• 0.49h ≥ 3.00

Which of the following is a solution to the inequality 2x + 6 ≤ 8x when x = 12?

• x = 16

• x = 10

• x = 12

• x = 14

For the inequality 1.4z + 5.2 > 0.4z, is z = -9 a solution?

• No, because -7.4 > -3.6

• Yes, because -7.4 = -3.6

• No, because -7.4 < -3.6

• Yes, because -7.4 > -3.6

If the cost of a Ford Focus is $15,000 and it is 27% of the price of a Lexus, what is the price of the Lexus?

• $55,556

• $60,000

• $50,000

• $40,000

In a job payment scenario, which option is better if your total sales are $10,000 or more?

• Neither option is better

• Option 1: $1,000 per month + 6% commission

• Option 2: $1,200 per month + 5% commission on sales over $2,000

• Both options are equal

If your sales are $8,000, which payment option is more beneficial?

• Option 1: $1,000 per month + 6% commission

• Option 2: $1,200 per month + 5% commission on sales over $2,000

• Both options are equal

• Neither option is better

What is the minimum sales amount needed for Option 1 to be better than Option 2?

• $8,000

• $11,000

• $10,000

• $9,000