Question bank: First Degree Function: Graph and Table

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Question 1:

Medium

The graph of a first-degree function can represent various everyday situations. Imagine you are an engineer analyzing the graph of a first-degree function representing the elevation of a ramp leading to a parking lot. The graph crosses the Y-axis at point (0,2) and the X-axis at point (4,0). Based on these points, what is the equation of the function representing this ramp?

First Degree Function: Graph and Table

Question 2:

Hard

Which of the following options represents a first-degree function: table or graph? Justify your answer.

First Degree Function: Graph and Table

Question 3:

Medium

A craftsman decides to produce bracelets to sell at a local fair. He realizes that the fixed cost to start production is R$ 37.00 and the variable cost per bracelet produced is R$ 3.00. Therefore, he wants to analyze the relationship between the number of bracelets produced and the total production cost.

First Degree Function: Graph and Table

Question 4:

Very Hard

A company that manufactures parts for automobiles observed that the monthly production cost of a certain item varies according to the quantity produced. They collected the following data over two months of production: in the first month, when they produced 200 items, the production cost was R$ 4000.00, and in the second month, when they produced 400 items, the cost was R$ 7000.00. Considering that the production cost can be modeled by a first-degree function, which is represented by a line in the Cartesian plane, and that the production cost is directly proportional to the quantity of items produced, determine the function that best represents the monthly production cost of these items. Then, based on the found function, estimate the production cost for 600 items in the third month of production.

First Degree Function: Graph and Table

Theorical Question

Contextualized Question

Question 5:

Medium

Which of the options below correctly represents the graph of a first-degree function?

First Degree Function: Graph and Table

IARA TIP

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