Kelly works at an electronics store. She is required to sell at least 12 items each month. She makes a commission of $100 for

Question

3 years ago

6

Kelly works at an electronics store. She is required to sell at least 12 items each month. She makes a commission of $100 for

each laptop and $80 for each smart phone. Kelly wants to make more than $1000 for the month. Let x represent the number of laptops sold and y represents the number of smart phones sold. Determine which system of inequalities represents the situation.
x + y <12 and 100x + 80y ≤ 1000
x + y ≥12 and 100x + 80y > 1000
x + y >12 and 100x + 80y ≥ 1000
x + y ≤12 and 100x + 80y < 1000

Mathematics

1 answer:

kirza4 [7] · Answer 1 · 2022-08-31T15:13:12+03:00

x + y ≥12 and 100x + 80y > 1000 represents the situation.

Step-by-step explanation:

Given,

Laptops = x

Smart phones = y

Kelly needs to sell at least 12 items which means she can sell 12 or more items, therefore,

x+y≥12

Commission for one laptop = $100

Commission for smart phone = $80

According to given statement; she needs more than $1000, therefore,

100x+80y>1000

Hence,

x + y ≥12 and 100x + 80y > 1000 represents the situation.

Keywords: linear inequalities, addition

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