Step: 1

[Original equation.]

Step: 2

[Substitute 0 for t .]

Step: 3

= 0

[Simplify.]

Step: 4

[Substitute 1 for t .]

Step: 5

= 100

[Simplify.]

Step: 6

[Substitute 2 for t .]

Step: 7

= 200

[Simplify.]

Step: 8

[Substitute 3 for t ]

Step: 9

= 300

[Simplify.]

Step: 10

Represent the above data in tabular form, as shown below.

Step: 11

Among the choices, graph-2 suits the result.

Correct Answer is : Graph 2

Step: 1

In the graph, x-axis represents Weights of apples and y-axis represents the cost of apples.

Step: 2

From, the graph the cost of 12 lbs apples is $ 48.

Step: 3

So, James has to pay $ 48 for 12 lbs of apples.

Correct Answer is : 48

Step: 1

Cost of a pair of jeans = $8

Step: 2

Cost of n pairs of Jeans= $8× n

Step: 3

The following table shows the total cost for the corresponding number of pairs of Jeans.

Step: 4

The points plotted in Graph 1 are same as the values obtained in the table.

Step: 5

Graph 1 shows the relationship between the number of pairs of Jeans and the total cost.

Correct Answer is : Graph 1

Step: 1

Cost of a Pen= $0.50

Step: 2

Cost of n Pens = $0.50× n

Step: 3

The following table shows the total cost for the corresponding number of Pens.

Step: 4

The points plotted in Graph 4 are same as the values obtained in the table.

Step: 5

Graph 4 shows the relationship between the number of pens and the total cost.

Correct Answer is : Graph 4

Step: 1

Cost of 2 boxes of Crayons = $1.5

Step: 2

The following table shows the total cost for the corresponding number of boxes of Crayons.

Step: 3

The points plotted in Graph 3 are same as the values obtained in the table.

Step: 4

Graph 3 shows the relationship between the number of boxes of crayons and the total cost.

Correct Answer is : Graph 3

Step: 1

1 foot = 12 inches

Step: 2

Make a table of values for this relation.

Step: 3

Plot the values on a coordinate plane and join the points.

Step: 4

The graph looks like the one below.

Step: 5

So, Graph 1 shows the relation between the number of feet and the number of inches.

Correct Answer is : Graph 1

Step: 1

The number of bolts produced by the machine in 1 hour = 1500 3 = 500.

Step: 2

As the time goes on, the total number of bolts produced by the machine, increases.

Step: 3

The direct variation between the number of bolts produced by the machine and the time taken can be given as, number of bolts produced in x hours is 500 × x .

Step: 4

The number of bolts produced and the time taken is shown in the table.

Step: 5

Graph 4 shows the relationship between the number of bolts produced by the machine and time taken.

Correct Answer is : Graph 4

Step: 1

As the number of workers increase, the time taken by them to finish the job decreases.

Step: 2

Inverse variation is a relationship between two variables, in which, the product is a constant. When one variable increases the other decreases in proportion, so that the product is unchanged.

Step: 3

Therefore, Graph 4 shows the relation between the number of workers and the time taken by them to finish a particular job.

Correct Answer is : Graph 4

Step: 1

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

Step: 2

From the graph, cost of 16 chocolates is $4.

Step: 3

So, Laura has to pay $4 to buy 16 chocolates.

Correct Answer is : $4

Step: 1

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

Step: 2

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

Step: 3

So, Jim typed 210 words in 7 minutes.

Correct Answer is : 210 words

Step: 1

Volume of a sphere V = 4 3 π r 3

Step: 2

Make a table of values for the volume V = 4 3 π r 3 .

^{3} | V | ( | |

1 | ^{3} | 4 | (1, 4) |

2 | ^{3} | 32 | (2, 32) |

3 | ^{3} | 108 | (3, 108) |

4 | ^{3} | 256 | (4, 256) |

Step: 3

Graph the ordered pairs as shown.

Step: 4

Graph 4 matches the above graph.

Step: 5

So, Graph 4 best represents for the volume of a sphere with radius r .

Correct Answer is : Graph 4

Step: 1

Let a , t represent the amount earned
and the time respectively.

Step: 2

[Original equation.]

Step: 3

At t = 1, a = 25(1) = 25

Step: 4

At t = 2, a = 25(2) = 50

Step: 5

At t = 3, a = 25(3) = 75

Step: 6

At t = 4, a = 25(4) = 100

Step: 7

At t = 5, a = 25(5) = 125

Step: 8

Represent the above data in tabular form, as shown below.

Input ( | 1 | 2 | 3 | 4 | 5 |

Output ( | 25 | 50 | 75 | 100 | 125 |

Step: 9

Among the choices, Graph 1 suits the result.

Correct Answer is : Graph 1

Step: 1

Let n , c represent the number of hotdogs bought and the total cost respectively.

Step: 2

[Original equation.]

Step: 3

At n = 1, c = 3(1) = 3

Step: 4

At n = 2, c = 3(2) = 6

Step: 5

At n = 3, c = 3(3) = 9

Step: 6

At n = 5, c = 3(5) = 15

Step: 7

At n = 4, c = 3(4) = 12

Step: 8

Represent the above data in tabular form, as shown below.

Input ( | 1 | 2 | 3 | 4 | 5 |

Output ( | 3 | 6 | 9 | 12 | 15 |

Step: 9

Among the choices, Graph 3 suits the result.

Correct Answer is : Graph 3

Step: 1

Locate 16 on the vertical axis. Follow the horizontal line through 16 till the line meets the graph at P (say). From P take a vertical line to meet the horizontal axis. This meeting point gives the time it takes to discharge 16 liters of water i.e. 8 minutes..

Correct Answer is : 8 minutes

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- Proportion