Question

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

Answer 1

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.

Question 11: Relations and Functions

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

Question 12: Relations and Functions

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.

Question 13: Variables

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.

Question 14 and 15: Domain and Range

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}

Question 16 and 17: Linear functions

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

Question 18: The table

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

Question 19: The linear equation

Start by calculating the slope (m) using:

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

So, we have:

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

$m = \frac{20}{2}$

$m = 10$

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) $y = 10x +5$; $x \ge 2$

Question 20: The fare when the distance is 4km

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:

https://brainly.com/question/15602982