Question

Use the three read strategy and unlocking the

prompt strategy to solve the problem
MONEY Jin is selling advertising space in Central City Magazine to local businesses.
Jin earns 3% commission for every advertisement he sells plus a salary of $250 a week.
If the average amount of money that a business spends on an advertisement is $500,
how many advertisements must he sell each week to make a salary of at least $700
that week?
a. Write an inequality to describe this situation.
b. Solve the inequality and interpret the solution.

Answer 1

To solve the problem, we can use the three read strategy and unlocking the prompt strategy. By writing and solving an inequality, we can determine the number of advertisements Jin must sell each week to make a salary of at least $700.

Step-by-step explanation:

To solve this problem, we can use the three read strategy and unlocking the prompt strategy.

a. To write an inequality to describe this situation, we need to consider Jin's salary and commission. Let's say he sells 'x' number of advertisements. The total money he makes from commission would be 3% of the average amount of money spent by a business on an advertisement multiplied by 'x'. The inequality can be written as 3%(500)(x) + 250 ≥ 700.

b. To solve the inequality, we can first simplify it: 0.03(500x) + 250 ≥ 700. Next, we can subtract 250 from both sides to isolate the term with 'x': 0.03(500x) ≥ 450. Then, we can divide both sides by 0.03(500) to solve for 'x': x ≥ 3. Therefore, Jin must sell at least 3 advertisements each week to make a salary of at least $700 that week.