Day ( | 1 | 2 | 3 | 4 | 5 | 6 |

Number of miles ( | 7 | 10 | 13 | 16 | 19 | 22 |

Step: 1

As the days go on, the number of miles increases by 3.

[Observe the table.]

Step: 2

That is, as x increases by a constant number, y also increases by a constant number.

Step: 3

Therefore, the relationship between the day and the number of miles driven can be represented as y = 3x + 4.

Step: 4

So, the situation can be represented by a linear function.

Correct Answer is : y = 3x + 4; yes

Year ( | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 |

Profit ( | 15.18 | 26.95 | 68.26 | 139.11 | 239.50 | 369.43 |

Step: 1

Observe that there is no constant rate of change in the profit from the table.

Step: 2

That is, as x increases by a constant number, y is not increasing by a constant number.

Step: 3

The graph of these sets of points is not linear.

Step: 4

So, the situation cannot be represented by a linear function.

Correct Answer is : No

Step: 1

The software records the date, time and allows the participant to play 12 minutes daily.

Step: 2

As the days go on, the number of minutes played stays constant.

Step: 3

The graph of these sets of points (number of the day, minutes) form a line.

Step: 4

So, the situation can be represented by a linear function.

Correct Answer is : Yes

Step: 1

As the years go on, the amount of profit increases by $12 million.

[Observe the table.]

Step: 2

That is, as x increases by a constant number, y also increases by a constant number.

Step: 3

The graph of these sets of points form a line.

Step: 4

So, the situation can be represented by a linear function.

Correct Answer is : Yes

Step: 1

As the number of months increases by 2, the birth rate of the children increases by 20,000.

[Observe the table.]

Step: 2

That is, as x increases by a constant number, y also increases by a constant number.

Step: 3

The graph of these sets of points form a line.

Step: 4

So, the situation can be represented by a linear function.

Correct Answer is : Yes

Step: 1

Observe that there is a constant rate of change in the Volume V from the table.

Step: 2

That is, as the height h increases by a constant number, Volume V is increasing by a constant number.

Step: 3

The graph of these sets of points is linear.

Step: 4

So, the volume of the cylinder is a linear function of the height of the cylinder.

Correct Answer is : Linear Function

Step: 1

Observe that the balance in Account A is increasing at a constant rate of change from the table.

Step: 2

That is, as Year t increases by a constant number, balance in Account A is increasing by a constant number.

Step: 3

The graph of these sets of points is a line.

Step: 4

Observe that the balance in Account B is not increasing at a constant rate of change from the table.

Step: 5

That is, as Year t increases by a constant number, balance in Account B is not increasing by a constant number.

Step: 6

The graph of these sets of points is not linear.

Step: 7

So, the situation of Account A earning on simple interest can be represented by linear function.

Correct Answer is : Account A

Step: 1

Observe that the height is decreasing at a constant rate of change from the table.

Step: 2

That is, as t increases by a constant number, height h , is decreasing by a constant number, 15.

Step: 3

The graph of these sets of points is linear.

Step: 4

So, the situation can be represented by a linear function.

Correct Answer is : Yes

Step: 1

The graph of a linear function is straight line.

Step: 2

The given graph is not a straight line. Therefore, the graph for the given situation represents a non linear function.

Correct Answer is : Non Linear Function

Step: 1

The graph of a linear function is straight line.

Step: 2

The given graph is not a straight line. Therefore, the graph for the given situation represents a non linear function.

Correct Answer is : Non Linear Function

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