Step: 1

Draw a scatter plot of the data.

Step: 2

Step: 3

From the graph, you can see that the points appear to lie on a line.

Step: 4

So, the type of model which best fits the data is a Linear model.

Correct Answer is : Linear model

Step: 1

You can see that the graph is an Exponential curve.

Step: 2

So, the type of model represents the graph is an Exponential model.

Correct Answer is : Exponential model

Step: 1

Make a table of values and draw a scatter plot.

Step: 2

Step: 3

Step: 4

From the graph, you can see that the points appear to lie on an exponential curve.

Step: 5

As the x increases, then y decreases. So the graph of y = 1.3 (0.82)^{x} represents an exponential decay.

Correct Answer is : Exponential decay

Time(t) | 0 | 1 | 2 | 3 | 4 | 5 |

Balance($) (B) | 500 | 530 | 560 | 590 | 620 | 650 |

Step: 1

Draw a scatter plot of the data.

Step: 2

You can see that the graph is a straight line.

Step: 3

Find two points on the line such as (0, 500) and (1, 530).

Step: 4

[Find slope of the line.]

Step: 5

Using a y -intercept of 500 and a slope of m = 30, you can write an equation of the line.

Step: 6

B = mt + b

[Write slope-intercept form.]

Step: 7

B = 30t + 500

[Substitute 500 for b and 30 for m .]

Step: 8

So, the linear model B = 500 + 30t fits the data.

[Replace b with 500 and m with 30.]

Correct Answer is : Linear; B = 500 + 30t

x | -1 | 0 | 1 | 2 | 3 |

y | -3 | -1 | 1 | 3 | 5 |

Step: 1

Draw a scatter plot of the data.

Step: 2

Step: 3

From the graph, it is observed that the points appear to lie on a line.

Step: 4

Therefore, the model that best fits the data is a linear model.

Correct Answer is : Linear model

Step: 1

The equation y = 3(5.02)^{x} is of the form y = c(1 + r )^{x}.

Step: 2

Correct Answer is : y = 3(5.02)^{x}

x | -2 | -1 | 0 | 1 | 2 | 3 |

y | -0.88 | -0.5 | 0 | 1 | 3 | 7 |

Step: 1

Draw a scatter plot of the data.

Step: 2

Step: 3

From the graph, it is observed that the points appear to lie on an exponential curve.

Step: 4

Therefore, the model that best fits the data is an exponential model.

Correct Answer is : Exponential model

Step: 1

The equation y = 8(1.14)^{x} is of the form y = c(1 + r )^{x}.

Step: 2

Correct Answer is : y = 8(1.14)^{x}

Step: 1

Step: 2

Correct Answer is : y = 4x ^{2} - 7

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