﻿ Function Worksheet - Page 3 | Problems & Solutions

# Function Worksheet - Page 3

Function Worksheet
• Page 3
21.
A climber climbs a mountain. The graph shows the distance covered and the time taken. Which sentence describes the graph shown?

 a. Distance covered decreases as the time increases. b. Distance covered does not depend on time. c. Distance covered increases as time increases. d. Distance covered is same as time.

#### Solution:

The graph shows the distance covered and the time taken.

From the graph it is clear that the distance covered increases with increase in time.

22.
Water is being taken out from a cylindrical tank at a steady rate. The graph shows the height of water in the tank as the time increases. Which sentence describes how the height of water in the tank is related to the increase in time?

 a. The height of water in the tank does not depend on the time. b. The height of water in the tank increases as the time increases c. The height of water in the tank decreases as the time increases. d. The height of water in the tank is same as increase in time.

#### Solution:

Water is being taken out from a cylindrical tank at a steady rate.

From the graph it is clear that the height of water in the tank decreases as the time increases.

23.
For every game the team won, they earned points. The graph shows points earned for games won. Which sentence describes how the number of points relates to the number of games won?

 a. The number of points increases as the number of games won increases. b. The number of games won equals number of points. c. The number of points decreases as the number of games won increases. d. The number of points does not depend on number of games won

#### Solution:

The graph shows the number of points earned for the games won.

For each game the team won, they earned 3 points.

So, the number of points increases as the number of games won increases.

24.
In a game for every foul, points will be reduced. The graph shows points reduced for fouls. Which sentence describes how the number of fouls relates to the score?

 a. The score is same as the number of fouls increases b. The score decreases as the number of fouls increases. c. The score does not depend on the number of fouls d. The score increases as the number of fouls increases.

#### Solution:

The graph shows the number of points scored and the fouls.

Points will be reduced for every foul.

So, the points scored decreases as the number of fouls increases.

25.
The graph of $f$($x$) = $x$ + 1 is shown. Which of the sentences relates $f$($x$) and $x$ in the graph?

 a. $f$($x$) decreases as $x$ increases b. $f$($x$) is the same as $x$ c. $f$($x$) increases as $x$ increases d. $f$($x$) does not depend on $x$

#### Solution:

The graph shows the values of f(x) and x.

From the graph,
for x = 0; f(x) = 1
for x = 1; f(x) = 2
for x = 2; f(x) = 3
for x = 3; f(x) = 4
for x = 4; f(x) = 5
for x = 5; f(x) = 6
for x = 6; f(x) = 7
for x = 7; f(x) = 8
for x = 8; f(x) = 9

So, it is clear from the graph that as x increases f(x) increases.

26.
The graph shows the relationship between the number of hours spent and the number of miles traveled by Joseph. Find the number of miles traveled in 4 hours.

 a. 24 miles b. 36 miles c. 30 miles d. 42 miles

#### Solution:

In the graph, x-axis represents the number of hours and y-axis represents the number of miles traveled.

From the graph, distance traveled in 4 hours is 30.
[The point is in the middle of 24 and 36, so it is 30.]

So, Joseph traveled 30 miles in 4 hours.

27.
The graph shows the relationship between the number of words Arthur typed and the time taken to type. How many words did he type in 7 minutes ?

 a. 180 words b. 240 words c. 210 words d. 150 words

#### Solution:

In the graph, x-axis represents the number of minutes and y-axis represents the number of words typed.

From the graph, the number of words typed in 7 minutes is 210.

So, Arthur typed 210 words in 7 minutes.

28.
The graph shows the relationship between the cost and the number of chocolates. If Stephanie wants to buy 16 chocolates, how much does she need to pay?

 a. $4 b.$6 c. $5 d.$3

#### Solution:

In the graph, x-axis represents the number of chocolates and y-axis represents its cost.

From the graph, cost of 16 chocolates is $4. So, Stephanie has to pay$4 to buy 16 chocolates.

29.
The graph shows the relationship between Annie's earnings and the number of hours she works overtime. Why does the graph intersect on $y$-axis?

 a. Annie has to pay initially $30 to the company. b. Annie works minimum 30 hours. c. Annie′s daily wage is$30. d. Annie′s initial overtime earning is $30. #### Solution: In the graph, x-axis represents number of hours Annie worked overtime and y-axis shows Annie's earnings. From the graph, it is understood that Annie's daily wage is$30.
[The number that corresponds to zero on y-axis is 30.]

The graph intersects on y-axis, because Annie's daily wage is \$30.

30.
A company manufactures washing machines. The graph shows the relationship between the years and the number of sales. How many washing machines did the company sell in the year 1998?

 a. 57,000 b. 23,000 c. 93,000 d. 80,000

#### Solution:

In the graph, x-axis represents the year and the y-axis represents the number of sales in thousands.

From the graph, the number of sales in 1998 is 80,000.

So, the company sold 80,000 washing machines in the year 1998.