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Andrew [12]
2 years ago
15

Can someone help? pls i really need it right now ​

Mathematics
1 answer:
taurus [48]2 years ago
4 0

A linear function is a function that has constant average rate of change;

Also, a relation that represents a function must have unique input and output values.

<h3>Question 11: Relations and Functions</h3>

A relation may or may not represent a function.

When the domain and the range of a relation are unique, then the relation is a function.

So, the true option is (b) function

<h3>Question 12: Relations and Functions</h3>

A one-to-many relation is not a function.

This is so because the domain and the range of the function are not unique

So, the true option is (c) figure 3: one-to-many.

<h3>Question 13: Variables</h3>

A dependent variable is a variable that depends on other variables for its value.

In this case, the dependent variable is (b) boosts the immune system.

<h3>Question 14 and 15: Domain and Range</h3>

The domain is the set of input values (i.e. the x values), while the range is the set of output values (i.e. the y values)

This means that:

  • The domain of the function is: (a) {2,3,4,5,6}
  • The range of the function is: (b) {4,6,8,10,12}

<h3>Question 16 and 17: Linear functions</h3>

The graph of a linear function is represented by a straight line, and it has a constant slope or rate.

This means that:

  • Graph C is a linear function
  • Table B is a linear function

<h3>Question 18: The table</h3>

The fare of 3 km and 5 km are given as 35 pesos and 55 pesos, respectively.

This means that:

Table (b) represents the information

<h3>Question 19: The linear equation</h3>

Start by calculating the slope (m) using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{55-35}{5-3}

m = \frac{20}{2}

m = 10\\&#10;

The linear equation is then calculated as:

y = m(x -x_1) + y_1

This gives

y = 10(x -3) + 35

y = 10x -30 + 35

y = 10x +5

This means that:

The linear equation that describes the relationship is (c) &#10;&#10;&#10;&#10;&#10;&#10;y = 10x +5; x \ge 2

<h3>Question 20: The fare when the distance is 4km</h3>

This means that x = 4.

So, we have:

y = 10 \times 4 +5

y = 45

Hence, the fare will be (a) 45 pesos

Read more about linear functions at:

brainly.com/question/15602982

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