High School

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Data Set C: The height of a different agave plant over time.

Come up with an equation that would be a good model for this data.

Day 0: Height in inches: 2, 3, 74, 91, 97, 44, 52.

Answer :

The equation to model the data is Linear: y=18x+85. Therefore, the correct answer is option C.

To determine which type of function best models the data, let's first analyze the pattern in the data:

Year Height

0 85

1 103

2 121

3 139

4 157

Looking at the data, we can see that the height of the plant is increasing linearly over time. Each year, the height increases by 18 units. Therefore, a linear function best models the data.

The equation for a linear function is of the form y=mx+b, where m is the slope (rate of change) and b is the y-intercept.

In this case, m=18 (the rate of change, as the height increases by 18 units each year), and b=85 (the initial height when x=0).

So, the equation to model the data is:

Linear: y=18x+85

Therefore, the correct answer is option C.

Question

The table shows the height of a plant over time. Which type of function best models the data? Write an equation to model the data.

Year - Height

0 85

1 103

2 121

3 139

4 157

A. Quadratic: y=18x^2+85

B. Quadratic: y=85x^2+18

C. Linear: y=18x+85

D. Exponential: y=85×18^x

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