# Linear Functions: Problems with Solutions

Problem 1
The proportional relation between distance traveled and the amount of time is shown in the following picture.
Which of the statements is true?

Problem 2
The graph visualize an emplolyee pay based on his working hours.
Determine the rate per hour.

Problem 3
The following graph shows the relation between the distance traveled by a taxi and the total cost of the service.
Which of the following about the point A is true?

Problem 4
The following table represents the relation between x, y.
May this table represent a function?
XY
58
1013
1518
2023
2124
2528
Problem 5
Which of these relations is a function?
AB
-10
-11
03
02
14
22
AB
-10
-10
03
03
14
22
XY
510
1515
2025
2535
2524
2528
Problem 6
Which of these relations is a function?
XY
55
1010
1515
2020
2121
2525
XY
55
105
155
205
215
255
Problem 7
Let A and B be sets with elements:

$A=\left\{ 1,3,5,6,8\right\}$ $B=\left\{ a,b,d,f\right\}$
Is the set of ordered pairs a function or a relation between the sets A, B?

$R=\left\{ (1,b);(3,d);(6,f)\right\}$
Problem 8
Does the point $(1,3)$ belong to the graph of the function $y=2x-1$ ?
Problem 9
Which of the points $(1,3)$, $(0,3)$, $(2,0)$, $(0,2)$, do not belong to the graph of the function $y=x+2$?
Problem 10
Given the function $y=3x-\frac{2}{5}$. Evaluate the function at x = 5.

Problem 11
If $y=\frac{2x-1}{3}$, what is the value of $y$ when $x=1$?
Problem 12
Which of following ordered pairs satisfy the function $y=5x-2$ ?

Correct:
Wrong:
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