Respuesta :
Answer:
x+y≥80
10x+12y=≥$840
Step-by-step explanation:
The total number of drawings must be the number of portraits added to the number of landscapes which must be equal to 80 or more
The total amount that must be made is the total of the number of each type of drawings multiplied by their amount each which must be $840 or more
Inequality is a mathematical statement containing comparison of expressions which is not strictly equal.
The needed system of 2 inequality is
- [tex]x + y \geq 80[/tex]
- [tex]10x + 12y \geq 840[/tex]
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, let we have
- x = number of portraits
- y = number of landscapes
The phrase at least is modeled by "more than or equal to" or [tex]\geq[/tex]
- Cost of 1 portrait = $10
- Cost of 1 landscape = $12
Thus, cost of x portraits = [tex]10x[/tex] dollars
cost of y landscapes = [tex]12y[/tex] dollars
Total number of drawing at least 80
Thus,
[tex]x + y \geq 80[/tex]
Total cost of selling drawings at least 840 dollars
thus,
[tex]10x + 12y \geq 840[/tex]
(see that we don't write dollar sign in inequality as it is known from the context and that we try to minimize elements in mathematical expressions)
Thus,
The needed system of 2 inequality is
- [tex]x + y \geq 80[/tex]
- [tex]10x + 12y \geq 840[/tex]
Learn more about inequality here:
https://brainly.com/question/11901702
