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Question about First Degree Function: Graph and Table

Mathematics

Originais Teachy

First Degree Function: Graph and Table

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

In a market research, a company noticed that its sales can be expressed by a first-degree function. The number of products sold, in thousands of units, in relation to the price, in dollars, was recorded in a table for the first five months of sales. The first month corresponds to a price of $1 and 10 thousand units sold, the second month to a price of $2 and 9 thousand units, the third month to a price of $3 and 8 thousand units, the fourth month to a price of $4 and 7 thousand units, and the fifth month to a price of $5 and 6 thousand units. Based on this data, what is the algebraic expression of the function that represents the relationship between the price of the products and the quantity of sales? And what would be the sales forecast for a month where the price is $10?
a.
The algebraic expression of the function is y = -1x + 11. The sales forecast for a month where the price is $10 is 1 thousand units.
b.
The algebraic expression of the function is y = -2x + 12. The sales forecast for a month where the price is $10 is 2 thousand units.
c.
The algebraic expression of the function is y = -1x + 12. The sales forecast for a month where the price is $10 is 2 thousand units.
d.
The algebraic expression of the function is y = -1x + 10. The sales forecast for a month where the price is $10 is 0 thousand units.
e.
The algebraic expression of the function is y = -1x + 9. The sales forecast for a month where the price is $10 is -1 thousand units.

Answer sheet:

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