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 (cm)
0 86
1 101
2 116
3 131
4 146
please help
No its
linear, y=15 x + 86
I gose need to Write an equation to model the data but I need help
First, it is a linear function, not exponential. Exponential has a rate of change in terms of multiplication or division, and Linear has a constant rate in terms of addition and subtraction. Soon, you'll learn about Arithmetic and Geometric Sequences. For a trick to know which sequences match with the functions, think of it like this: Arithmetic is Linear, and Geometric is Exponential.
Your answer would look like this: y=15x+86 because it is a linear function.
The 15 in the equation would be your rate of change(slope) and 86 would be the y-intercept
Exponential.
It goes up very quickly.
It is a curve.
I got the answer from the answer key I gose need the equation but yet again I NeEd HeLp
https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
To determine the type of function that best models the given data, we need to analyze the relationship between the independent variable (Year) and the dependent variable (Height). Since the height is increasing at a constant rate, it suggests a linear relationship.
To find the equation of a linear function, we need two pieces of information: the slope and the y-intercept.
The slope can be found by calculating the difference in height between any two points divided by the difference in years. Let's choose the first two points (Year 0 and Year 1) to calculate the slope:
Slope = (Height at Year 1 - Height at Year 0) / (1 - 0)
= (101 - 86) / 1
= 15
Now that we have the slope, we can determine the y-intercept by substituting one of the points (Year 0, Height 86) into the slope-intercept form of a linear equation, y = mx + b, where y is the height, x is the year, and b is the y-intercept:
86 = 15(0) + b
b = 86
Therefore, the linear function that best models the data is:
Height = 15x + 86
where x represents the year.
This equation predicts the height of the plant at any given year based on the linear trend observed in the given data.