1. Frances earns a salary of $ 3,200 per month plus a commission of 2% of his sales. He wants to earn at least $4,000 this month. Write an inequality to find the dollar amount of the sales that will meet his goal. Identify what your variable represents.
d= dollars
answer:???
3,200 + .02d >= 4,000
2. An auditorium holds at most 740 people. The balcony holds 60 people, and there are 20 rows on the main floor. Write an inequality to find how many seats there are in each row on the main floor. Identify what your variable represents.
( i think)
s= seats in each row
answer: ????
60 + 20s <= 740
thank you
See previous post.
1. To find the inequality that represents the dollar amount of sales Frances needs to meet his goal, we need to consider his base salary and commission. Let's represent the dollar amount of sales as "d". Since Frances wants to earn at least $4,000 this month, we can write the inequality as follows:
3,200 + 0.02d ≥ 4,000
In this inequality, 3,200 represents Frances's base salary, 0.02 is the commission rate (2% expressed as a decimal), and "d" represents the dollar amount of sales. This inequality states that the sum of Frances's base salary and 2% of his sales must be greater than or equal to $4,000 in order for him to meet his goal.
2. To find the inequality that represents the number of seats in each row on the main floor of the auditorium, we need to consider the total capacity and the number of seats in the balcony. Let's represent the number of seats in each row as "s". Given that the balcony holds 60 people and there are 20 rows on the main floor, the total capacity of the auditorium can be expressed as:
60 + 20s ≤ 740
In this inequality, 60 represents the number of seats in the balcony, 20 represents the number of rows on the main floor, and "s" represents the number of seats in each row. This inequality states that the sum of the number of seats in the balcony and the product of the number of rows and the number of seats in each row must be less than or equal to 740, which is the maximum capacity of the auditorium.